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Question
What is the quotient and remainder when $ 7664 $ is divided by $ 8 $ ?
Answer
The quotient is 958 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 9 | 5 | 8 |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 7 | 6 | 6 | 4 |
STEP 1: DIVIDE 7 : 8 = 0 with a remainder of 7
|
| | 0 | | | |
| 8 | 7 | 6 | 6 | 4 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 7 | 6 | 6 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
STEP 5: DIVIDE 76 : 8 = 9 with a remainder of 4
|
| | 0 | 9 | | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
STEP 6: MULTIPLY 9 · 8 = 72
|
| | 0 | 9 | | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| | 7 | 2 | | |
STEP 7: SUBTRACT 76 - 72 = 4
|
| | 0 | 9 | | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 9 | | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
STEP 9: DIVIDE 46 : 8 = 5 with a remainder of 6
|
| | 0 | 9 | 5 | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
STEP 10: MULTIPLY 5 · 8 = 40
|
| | 0 | 9 | 5 | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | | 4 | 0 | |
STEP 11: SUBTRACT 46 - 40 = 6
|
| | 0 | 9 | 5 | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | |
|
STEP 12: BRING DOWN
|
| | 0 | 9 | 5 | |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | 4 |
STEP 13: DIVIDE 64 : 8 = 8 with a remainder of 0
|
| | 0 | 9 | 5 | 8 |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | 4 |
STEP 14: MULTIPLY 8 · 8 = 64
|
| | 0 | 9 | 5 | 8 |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | 4 |
| | | | 6 | 4 |
STEP 15: SUBTRACT 64 - 64 = 0
|
| | 0 | 9 | 5 | 8 |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
STEP 15: SUBTRACT 64 - 64 = 0
|
| | 0 | 9 | 5 | 8 |
| 8 | 7 | 6 | 6 | 4 |
| – | 0 | | | |
| | 7 | 6 | | |
| – | 7 | 2 | | |
| | | 4 | 6 | |
| | – | 4 | 0 | |
| | | | 6 | 4 |
| | | – | 6 | 4 |
| | | | | 0 |
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