Long Division- Multi digits by 1 digit
Basics on the topic Long Division- Multi digits by 1 digit
In this Long Division - Multi-Digit by 1 Digit Video
Mr. Squeaks is trying to earn enough money to be able to attend his next adventure: The George Washington, Crossing the Delaware River Reenactment. He decides that he will offer babysitting services to earn the funds he needs. Several families hire Mr. Squeaks and we use the method of long division of multi-digit numbers by 1 digit divisors to calculate the amount of money he makes each time he babysits. Will Mr. Squeaks’ babysitting service pay off in the end?
Example of Multi Digit Long Division
Transcript Long Division- Multi digits by 1 digit
Mr. Squeaks needs funds for his next historical adventure, so he's starting a business to raise money! He starts a babysitting service and boy does it take off! Mr. Squeaks wants to calculate exactly how much he has been making! We can help calculate the earnings per babysitting duty with... "Long Division - Multi-Digit by 1 Digit" In long division, we organize the dividend, divisor, and quotient like THIS. In long division, we find the quotient using these steps... Divide, multiply, subtract, bring down, repeat The Field Family hired Mr. Squeaks to watch their kids three times and paid him three hundred sixty-three dollars. We can divide to calculate how much he made EACH time he babysat. To do this, we will divide three-hundred-sixty-three by three. Put the dividend, "three hundred sixty-three" HERE… And the divisor, three, HERE. First, we divide the hundreds in the dividend, by the divisor. Three goes into three, one time. We write the one ABOVE the hundreds place in the quotient. Next, we multiply this number by the divisor. One times three equals three… and write this answer BELOW the hundreds in the dividend. Then, we subtract. Three minus three equals zero. Now, we bring down the number from the tens place... and REPEAT these steps. THREE goes into six, TWO times… so, we write the two above the tens place and multiply it by the divisor. Three times two equals six. write the six HERE... and subtract. Six minus six equals zero. There is still the number in the ones place to bring down... so, we have to repeat the steps ONE MORE time. Three goes into three one time. One times three equals three… and three minus three equals zero. The quotient is one hundred twenty-one. The Field Family paid Mr. Squeaks one hundred, twenty-one dollars each time he babysat. The Vole's hired Mr. Squeaks to babysit five times and paid him "two hundred forty-five" dollars in all. We can divide two hundred forty-five by five to see how much he earned each time. What is our first step? We need to divide the hundreds place by the divisor. What do you notice when you think about how many times five goes into two? Since five is MORE than two, it can not be divided evenly. This time, we need to look at the first two place values TOGETHER. How many times does five go into twenty-four? There are FOUR groups of five in twenty-four. We write the four above the TENS PLACE in the quotient... and multiply the four to the divisor, five. Four times five is twenty. Where do we write the twenty? We put it UNDER the twenty-four. Now, subtract, twenty-four minus twenty equals four. What is our next step? Bring down the next number. What number do we bring down? Five and now we have forty-five HERE. We need to repeat the steps again. How many times does five go into forty-five? Nine times. What do we multiply the nine by? The divisor, five. What is nine times five? Forty-five Write forty-five here... and subtract leaving zero. What is the quotient? Forty-nine. The Vole's paid Mr. Squeaks forty-nine dollars each time. Remember... long division is a way to organize the calculation of a division problem. To divide we follow these steps: Divide Multiply Subtract Bring down next place value in the dividend. Repeat these steps until all digits in the dividend have been used. Mr. Squeaks has earned enough money to go on his long-awaited adventure. Mr. Squeaks! Mr. Squeaks! Mr. Squeaks, it’s time for you to go on your trip. [Mr. Squeaks closes his eyes again…too exhausted to move.]
Long Division- Multi digits by 1 digit exercise
-
Find the quotient.
HintsStep 1: Divide.
How many times does 2 go into 8? Write this number above the 8.
2 goes into 8 4 times.
Step 2: Multiply 2$\times$4.
2$\times$4 = 8. Place this 8 under the 8 in the dividend.
Subtract.
Bring down the 4 and repeat the steps twice.
Solution- Step 1: Divide. How many times does 2 go into 8? 4 times. Write this 4 above the 8.
- Step 2: Multiply. 2$\times$4 = 8. Place this 8 under the 8 in the dividend.
- Step 3: Subtract the 8s.
- Step 4: Bring down the 4.
- Step 5: Repeat the steps twice.
The answer is $\$$421.
-
Complete the division problem.
HintsStep 1: Divide
How many times does 2 go into 4? Write this number above the 4.
2 goes into 4 2 times.
Step 2: Multiply 2$\times$2.
2$\times$2 = 4. Place this 4 under the 4 in the dividend.
Subtract.
Bring down the 8 and repeat the steps 3 times.
Solution- Step 1: Divide. How many times does 2 go into 4? 2 times. Write this 2 above the 4.
- Step 2: Multiply. 2$\times$2 = 4. Place this 4 under the 4 in the dividend.
- Step 3: Subtract the 4s.
- Step 4: Bring down the 8.
- Step 5: Repeat the steps 3 times.
The answer is 2,440.
-
Solve the division problem.
HintsTo calculate how many hours Mr. Squeaks will need to work to afford his Paris trip, you will need to divide the cost of the trip by how much he charges per hour to babysit.
The cost of the Paris trip is $\$$747. The amount Mr. Squeaks charges per hour to babysit is $\$$9. Therefore, we calculate 747$\div$9.
Step 1: Divide. How many times does 9 go into 7? 9 does not go into 7, so we find how many times it goes into 74. It goes in 8 times, so we place the number 8 above the 4.
Step 2: Multiply 9$\times$8, and place this number below the 74.
Step 3: Subtract.
SolutionTo calculate how many hours Mr. Squeaks will need to work to afford his Paris trip, you will need to divide the cost of the trip by how much he charges per hour to babysit.
747$\div$9 = 83 hours
-
Solve the following division problems.
HintsFor 410$\div$5...
5 goes into 41 8 times. Write this 8 above the 1.
For 639$\div$9...
9 goes into 63 7 times. Write this 7 above the 3.
Remember the steps of long division:
1. Divide
2. Multiply
3. Subtract
4. Bring down
5. Repeat
SolutionWritten worked solution for 410$\div$5:
1. Divide 41$\div$5. 5 does not go into 4, so we find how many times it goes into 41. It goes in 8 times, so we place the number 8 above the 1 in 41.
2. Multiply 5$\times$8.
3. Subtract the product: 41-40.
4. Bring down the next digit.
5. Repeat these steps with this new number (in this case, 10).
The answer is 82.
410$\div$5 = 82
5,205$\div$5 = 1,041
639$\div$9 = 71
3,393$\div$3 = 1,131
-
Solve the division problem.
HintsStep 1: Divide. How many times does 4 go into 4? 4 goes into 4 1 time. Write the 1 above the 4 in the dividend.
Step 2: Multiply 4 $\times$ 1, and place this number below the 4 in the dividend.
Step 3: Subtract.
Step 4: Bring down the 8.
Step 5: Repeat the steps twice.
Solution- Step 1: Divide. How many times does 4 go into 4? 1 time. Write this 1 above the 4.
- Step 2: Multiply. 4$\times$1 = 4. Place this 4 under the 4 in the dividend.
- Step 3: Subtract the 4s.
- Step 4: Bring down the 8.
- Step 5: Repeat the steps twice.
The answer is 121.
-
Complete the following mathematical expressions.
HintsFor 4,935$\div$7:
For 3,996$\div$___ = 1,332:
3,996 divided by what equals 1,332?
One strategy to find a missing divisor is to use "guess and check." Plug in each possible divisor (3, 4, 5) until one of them gives you a quotient of 1,332.
SolutionWritten worked solution for 4,935$\div$7:
1. Divide 49$\div$7. 7 does not go into 4, so we find how many times it goes into 49. It goes in 7 times, so we place the number 7 above the 9 in 49.
2. Multiply 7$\times$7.
3. Subtract the product: 49-49.
4. Bring down the next digit.
5. Repeat these steps with this new number (in this case, 3). 7 does not go into 3, so we place a 0 above the 3 in the dividend, and continue the steps.
The answer is 705.
The answers the the questions are:
1. 248$\div$2 = 124
2. 450$\div$ 5 = 90
3. 3,996$\div$ 3 = 1,332
4. 4,935$\div$7 = 705
