Long Division Methods Method 1

We are going to try to solve 839 ÷ 27

Method 1 839 ÷ 27 8 3 9 - 2 7 0 (27 x 10 = 270)

Method 1 839 ÷ 27 8 3 9 - 2 7 0 (27 x 10 = 270) 5 6 9

Method 1 839 ÷ 27 8 3 9 - 2 7 0 (27 x 10 = 270) 5 6 9 - 2 7 0 (27 x 10 = 270) 2 9 9

Method 1 839 ÷ 27 8 3 9 - 2 7 0 (27 x 10 = 270) 5 6 9 - 2 7 0 (27 x 10 = 270) 2 9 9 - 2 7 0 (27 x 10 = 270) 2 9

Method 1 839 ÷ 27 8 3 9 - 2 7 0 (27 x 10 = 270) 5 6 9 - 2 7 0 (27 x 10 = 270) 2 9 9 - 2 7 0 (27 x 10 = 270) 2 9 - 2 7 (27 x 1 = 27) 2

Method 1 839 ÷ 27 8 3 9 - 2 7 0 (27 x 10 = 270) 5 6 9 - 2 7 0 (27 x 10 = 270) 2 9 9 - 2 7 0 (27 x 10 = 270) 2 9 - 2 7 (27 x 1 = 27) 2 10 + 10 + 10 + 1 = 31

Method 1 = 3 1 r 2 839 ÷ 27 Or 31 2 27

Long Division Methods Method 2

We are going to try to solve 839 ÷ 27

Method 2 839 ÷ 27 becomes 27 ) 8 3 9

Method 2 27 x 10 = 270 Miles off! 839 ÷ 27 27 ) 8 3 9

Method 2 27 x 10 = 270 27 x 20 = 540 Getting better! 27 ) 8 3 9 839 ÷ 27 27 ) 8 3 9

Method 2 27 x 10 = 270 27 x 20 = 540 27 x 30 = 810 Much better! 839 ÷ 27 27 ) 8 3 9

Method 2 27 x 30 = 810 Put the 810 underneath. 27 ) 8 3 9 - 8 1 0 839 ÷ 27 27 ) 8 3 9 - 8 1 0 2 9 27 x 30 = 810

Method 2 839 ÷ 27 27 ) 8 3 9 - 8 1 0 2 9 27 x 30 = 810 - 2 7 27 x 1 = 27 2

Method 2 839 ÷ 27 27 x 30 = 810 3 1 27 x 1 = 27 27 ) 8 3 9 - 8 1 0 2 9 30 + 1 = 31 - 2 7 2

Don’t forget the remainder! - 2 7 2 Method 2 839 ÷ 27 3 1 r 2 27 ) 8 3 9 - 8 1 0 2 9 Don’t forget the remainder! - 2 7 2

Method 2 = 3 1 r 2 839 ÷ 27 Or 31 2 27

Long Division Methods Method 3

We are going to try to solve 839 ÷ 27

Method 3 839 ÷ 27 becomes 27 ) 8 3 9

Method 3 Calculate 8 ÷ 27 839 ÷ 27 27 ) 8 3 9

We can’t do it, so we write the answer 0 here Method 3 We can’t do it, so we write the answer 0 here 839 ÷ 27 27 ) 8 3 9

Use you repeated subtraction here if this helps Method 3 So we next look at 83 ÷ 27 839 ÷ 27 27 ) 8 3 9 Use you repeated subtraction here if this helps

Method 3 2 x 27 = 54 3 x 27 = 81 839 ÷ 27 3 27 ) 8 3 9

We need to take off 81 from the 83 to get the remainder 3 27 ) 8 3 9 Method 3 3 x 27 = 81 839 ÷ 27 We need to take off 81 from the 83 to get the remainder 3 27 ) 8 3 9 - 8 1 2

Drop the next digit next to the 2 3 27 ) 8 3 9 - 8 1 Method 3 839 ÷ 27 Drop the next digit next to the 2 3 27 ) 8 3 9 - 8 1 2 9

Now we are going to do 29 ÷ 27 and put the answer here Method 3 Now we are going to do 29 ÷ 27 and put the answer here 839 ÷ 27 3 1 27 ) 8 3 9 - 8 1 2 9

Now we are going to do 29 - 27 to get the remainder Method 3 Now we are going to do 29 - 27 to get the remainder 839 ÷ 27 3 1 27 ) 8 3 9 - 8 1 2 9 2 7

Method 3 839 ÷ 27 3 1 r 2 27 ) 8 3 9 - 8 1 2 9 2 7 2

Method 3 = 3 1 r 2 839 ÷ 27 or 31 2 27