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Published byBlake Ortega Modified over 4 years ago

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Long Division Methods Method 1

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We are going to try to solve 839 ÷ 27

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

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

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

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

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

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

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839 ÷ 27 Method 1 = 3 1r 2 Or 31 2 27

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Long Division Methods Method 2

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We are going to try to solve 839 ÷ 27

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Method 2 becomes 27 ) 8 3 9

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

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

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

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

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

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

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839 ÷ 27 Method 2 27 ) 8 3 9 - 8 1 0 2 9 Dont forget the remainder! - 2 7 2 3 1r 2

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839 ÷ 27 Method 2 = 3 1r 2 Or 31 2 27

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Long Division Methods Method 3

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We are going to try to solve 839 ÷ 27

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Method 3 becomes 27 ) 8 3 9

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

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839 ÷ 27 Method 3 27 ) 8 3 9 We cant do it, so we write the answer 0 here 0

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839 ÷ 27 Method 3 27 ) 8 3 9 So we next look at 83 ÷ 27 0 Use you repeated subtraction here if this helps

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839 ÷ 27 Method 3 27 ) 8 3 9 0 2 x 27 = 54 3 x 27 = 81 3

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839 ÷ 27 Method 3 27 ) 8 3 9 0 3 x 27 = 81 3 - 8 1 2 We need to take off 81 from the 83 to get the remainder

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839 ÷ 27 Method 3 27 ) 8 3 9 03 - 8 1 2 9 Drop the next digit next to the 2

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839 ÷ 27 Method 3 27 ) 8 3 9 03 1 - 8 1 2 9 Now we are going to do 29 ÷ 27 and put the answer here

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839 ÷ 27 Method 3 27 ) 8 3 9 03 1 - 8 1 2 9 Now we are going to do 29 - 27 to get the remainder 2 7

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839 ÷ 27 Method 3 27 ) 8 3 9 03 1 r 2 - 8 1 2 9 2 7 2

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839 ÷ 27 Method 3 = 3 1 r 2 or31 2 27

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© T Madas. These days no one has the need to manually compute square roots. The algorithm which follows has been put to oblivion by the modern calculator,

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