Question

5-4 homework
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① 7 long divides 4318
② 5 long divides 4826
③ 8 long divides 4377
④ 9 long divides 7192

Explanation:

Step1: Divide 4318 by 7

Step1a: 7 into 43 is 6, 6×7=42

$43 - 42 = 1$, bring down 1 → 11

Step1b: 7 into 11 is 1, 1×7=7

$11 - 7 = 4$, bring down 8 → 48

Step1c: 7 into 48 is 6, 6×7=42

$48 - 42 = 6$
$\frac{4318}{7} = 617$ remainder $6$

Step2: Divide 4826 by 5

Step2a: 5 into 48 is 9, 9×5=45

$48 - 45 = 3$, bring down 2 → 32

Step2b: 5 into 32 is 6, 6×5=30

$32 - 30 = 2$, bring down 6 → 26

Step2c: 5 into 26 is 5, 5×5=25

$26 - 25 = 1$
$\frac{4826}{5} = 965$ remainder $1$

Step3: Divide 4377 by 8

Step3a: 8 into 43 is 5, 5×8=40

$43 - 40 = 3$, bring down 7 → 37

Step3b: 8 into 37 is 4, 4×8=32

$37 - 32 = 5$, bring down 7 → 57

Step3c: 8 into 57 is 7, 7×8=56

$57 - 56 = 1$
$\frac{4377}{8} = 547$ remainder $1$

Step4: Divide 7192 by 9

Step4a: 9 into 71 is 7, 7×9=63

$71 - 63 = 8$, bring down 9 → 89

Step4b: 9 into 89 is 9, 9×9=81

$89 - 81 = 8$, bring down 2 → 82

Step4c: 9 into 82 is 9, 9×9=81

$82 - 81 = 1$
$\frac{7192}{9} = 799$ remainder $1$

Answer:

1. $617$ remainder $6$
2. $965$ remainder $1$
3. $547$ remainder $1$
4. $799$ remainder $1$