# Long Division- Multi Digits by 1 Digit

Content Long Division- Multi Digits by 1 Digit
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## Basics on the topicLong Division- Multi Digits by 1 Digit

Long division multi digit by 1 digit

## In this Long Division Video

Mr. Squeaks is trying to earn enough money to be able to attend his next adventure. 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

We look at how to see how many times the divisor goes into each digit in the dividend.

In this video learn how to solve long division word problems by using long division step by step. This video shows how to use the method, sometimes known as bus stop method long division, to find out how much money Mr Squeaks made from his babysitting services.

There are also long division worksheets to practise with on this site.

## Long Division- Multi Digits by 1 Digit exercise

Would you like to apply the knowledge you’ve learnt? You can review and practice it with the tasks for the video Long Division- Multi Digits by 1 Digit.
• ### Find the quotient.

Hints

Step 1: Divide.

How many times does 2 go into 8? Write this number above the 8.

2 goes into 8 four times. Write the 4 above the 8 like this. Next, how many times does 2 go into the next digit, 4?

Solution
• Step 1: Divide. How many times does 2 go into 8? Four times. Write this 4 above the 8.
• Step 2: How many times does 2 go into 4? Two times. Write this 2 above the 4.
• Step 3: How many times does 2 go into 2? One time. Write this 1 above the 2.

• ### Complete the division problem.

Hints

Step 1: Divide

How many times does 2 go into 4? Write this number above the 4.

2 goes into 4 two times.

Next, how many times does 2 go into 8?

2 goes into 8 four times, so write 4 on the top. What is the next step?

Solution
• Step 1: Divide. How many times does 2 go into 4? Two times. Write this 2 above the 4.
• Step 2: How many times does 2 go into 8? Four times. Write this 4 above the 8.
• Step 3: How many times does 2 go into 8? Four times. Write this 4 above the 8.
• Step 4: How many times does 2 go into 0? Zero times. Write this 0 above the 0.

• ### Solve the division problem.

Hints

To 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 with 2 remaining, so we place the number 8 above the 4 and carry the 2 in front of the 7.

.

Solution

To 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.

Hints

For 410$\div$5...

5 goes into 41 eight times. Write this 8 above the 1.

For 639$\div$9...

9 goes into 63 seven times. Write this 7 above the 3.

Solution

Written worked solution for 410$\div$5:

1. Divide 410$\div$5. 5 does not go into 4, so we find how many times it goes into 41. It goes in 8 times remainder 1, so we place the number 8 above the 1 in 41 and carry the 1 in front of the 0.

2. How many times does 5 go into 10? Twice. So we write 2 above the 0.

410$\div$5 = 82

5,205$\div$5 = 1,041

639$\div$9 = 71

3,393$\div$3 = 1,131

• ### Solve the division problem.

Hints

Step 1: Divide. How many times does 4 go into 4? 4 goes into 4 one time. Write the 1 above the 4 in the dividend.

Next, how many times does 4 go into 8?

4 goes into 8 two times. Write the 2 above the 8 like this.

Solution
• Step 1: Divide. How many times does 4 go into 4? One time. Write this 1 above the 4.
• Step 2: How many times does 4 go into 8? Two times. Write this 2 above the 8.
• Step 3: How many times does 4 go into 4? One time. Write this 1 above the 4.

• ### Complete the following mathematical expressions.

Hints

For 4,935$\div$7: 7 does not go into 4 so we see how many times it goes into 49. 7 goes into 49 7 times. How many time does 7 go into 3? 0 times.

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." Try each possible divisor (3, 4, 5) until one of them gives you a quotient of 1,332.

Another strategy is to use the inverse. Since multiplication is the inverse of division we can see, 1,332 x what = 3,996.

Solution

Written worked solution for 4,935$\div$7:

Step 1. Divide 49$\div$7. 7 does not go into 4, so we find how many times it goes into 49. It goes in seven times, so we place the number 7 above the 9 in 49.

Step 2. How many times does 7 go into 3? It goes in zero times so we place 0 above the 3 and carry the 3 in front of the 5.

Step 3. How many times does 7 go into 35? Five times, so we write 5 above the 5.

1. 248$\div$2 = 124
2. 450$\div$ 5 = 90
3. 3,996$\div$ 3 = 1,332
4. 4,935$\div$7 = 705