Short Division Method also called Bus Stop Method

Short Division Method also called ‘Bus Stop’ Method

1 4 How many areleftover? How many 5’s Great! 5 sare there in in 14? 1? 45? How many

1 2 How many areleft over? How many 5 sare there in 17? 20? Great! 6? How many 5’s are there in How many over?

1 How many 2’s are there in How many are left over? How many 2 sare areleft there 2? How many Great! 2 s there inin 16? 3? How many over?

How many 2 s are there in How many 2’s are there in 0? How many 2 sare areleft there in 6? 8? How many left over? Great! How many over?

1 How many 3 sare areleft there in 6? 12? How many 3’s 4? How many left over? Great! How many over?

1 3 How many 4’s are there in 32? How many leftover? How many 4 sare areleft there in 11? 5? Great! How many

Formal Division with Remainders

1 Howmanyremainders groupsof gointo 14? 7? How many remainders are there? groups go groups ofof 333 are go into 3?

1 2 How many groups remainders ofof are into there? 14? How many groups go into 28? How many remainders are there? groups of 666 go go into 7?

2 2 How many groups ofof into 22? How many remainders are there? groups of 444 go go into 6? How many groups go into 23?

3 1 How many remainders are there? How many groups ofof into 36? How many groups remainders of 777 go go are into there? 3? How many groups go into 19?

2 2 How 26? Howmanygroups remainders are there? groupsofof of 333 go gointo 8? How many groups go into 26?

5 4 How many remainders are there? How many groups ofof into 58? groups of 999 go go into 5? How many groups remainders go are into there? 44?

Long Division Method with 2 digit divisor

• Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division , and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context.

Use your knowledge of multiples to help you solve these division questions: 785 ÷ 25 = 31 r 1 0 0 3 1 r 10 2 5 7 8 5 − 7 5 − 3 5 2 5 1 0 417 ÷ 13 =32 r 1 0 3 1 3 4 1 7 − 3 9 − 2 2 7 2 6 1 r 1

Solve this division word problem. Think carefully about the effect the remainder will have on your final answer. A school is buying paints to use in the classroom. A box contains 14 bottles of paint. The school needs 438 bottles of paint. How many boxes do they need to buy? 32 boxes of paint are needed. 10 bottles of paint will be left over. 0 3 1 4 4 3 8 − 4 2 − 1 1 8 1 4 4 r 4

Solve this division word problem. Think carefully about the effect the remainder will have on your final answer. 14 coaches are needed. There will be 30 spare seats. A coach can carry 36 children. How many coaches will a school need to take 450 pupils and 24 members of staff on a trip? 0 1 3 6 4 7 4 − 3 6 − 3 1 1 4 1 0 8 6 r 6

Three children I think that we will have been asked need 17 shelves to to reorganise hold all of the school books. library. There are 573 books to put on the shelves. They have been told that each shelf can have up to 35 books on it. I think that we will need 18 shelves to hold all of the books. Will any books be left over when they have filled all the shelves? I think that we will need 16 shelves to hold all of the books. Olivia Tomak Can you explain who is right? James Tomak is right. They will need 17 shelves. 16 shelves will be full and the last shelf will have 13 books on it.

Look at these division calculations and decide if the statements are true or false. Explain your reasoning. One of these numbers will give a Two of these numbers will divide by 25 remainder that is even. without leaving a remainder. False. Both calculations that result False. Only one of the numbers is in a remainder have remainders that divisible by 25. are even. 347 ÷ 25 = 13 r 22 950 ÷ 25 = 38 654 ÷ 25 = 26 r 4

Investigate finding a number which could match each of these statements. Can you find every possible answer? My number is greater than 100 and less than 160. If I divide this three digit number by 14, the remainder is 5. Accept: 117, 131, 145 and 159. My number is between 400 and 500. When I divide it by 22, the remainder is 11. Accept: 429, 451, 473 and 495. This number is between 400 and 600. If I divide it by 32, the remainder is 4. Accept: 420, 452, 484, 516, 548 and 580.