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Question
What is the quotient and remainder when $ 5432 $ is divided by $ 8 $ ?
Answer
The quotient is 679 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 6 | 7 | 9 |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | 2 |
| | | – | 7 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 5 | 4 | 3 | 2 |
STEP 1: DIVIDE 5 : 8 = 0 with a remainder of 5
|
| | 0 | | | |
| 8 | 5 | 4 | 3 | 2 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 5 | 4 | 3 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
STEP 5: DIVIDE 54 : 8 = 6 with a remainder of 6
|
| | 0 | 6 | | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
STEP 6: MULTIPLY 6 · 8 = 48
|
| | 0 | 6 | | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| | 4 | 8 | | |
STEP 7: SUBTRACT 54 - 48 = 6
|
| | 0 | 6 | | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
STEP 9: DIVIDE 63 : 8 = 7 with a remainder of 7
|
| | 0 | 6 | 7 | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
STEP 10: MULTIPLY 7 · 8 = 56
|
| | 0 | 6 | 7 | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | | 5 | 6 | |
STEP 11: SUBTRACT 63 - 56 = 7
|
| | 0 | 6 | 7 | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | |
|
STEP 12: BRING DOWN
|
| | 0 | 6 | 7 | |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | 2 |
STEP 13: DIVIDE 72 : 8 = 9 with a remainder of 0
|
| | 0 | 6 | 7 | 9 |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | 2 |
STEP 14: MULTIPLY 9 · 8 = 72
|
| | 0 | 6 | 7 | 9 |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | 2 |
| | | | 7 | 2 |
STEP 15: SUBTRACT 72 - 72 = 0
|
| | 0 | 6 | 7 | 9 |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | 2 |
| | | – | 7 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 72 - 72 = 0
|
| | 0 | 6 | 7 | 9 |
| 8 | 5 | 4 | 3 | 2 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 3 | |
| | – | 5 | 6 | |
| | | | 7 | 2 |
| | | – | 7 | 2 |
| | | | | 0 |
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