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What is the quotient and remainder when $ 7000 $ is divided by $ 8 $ ?
Answer
The quotient is 875 and the remainder is 0.
Explanation
Division Table
|
| 0 | 8 | 7 | 5 |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | 0 |
| | – | 4 | 0 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
8 | 7 | 0 | 0 | 0 |
STEP 1: DIVIDE 7 : 8 = 0 with a remainder of 7
|
| 0 | | | |
8 | 7 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | | |
8 | 7 | 0 | 0 | 0 |
| 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| 0 | | | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
STEP 5: DIVIDE 70 : 8 = 8 with a remainder of 6
|
| 0 | 8 | | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
STEP 6: MULTIPLY 8 · 8 = 64
|
| 0 | 8 | | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
| 6 | 4 | | |
STEP 7: SUBTRACT 70 - 64 = 6
|
| 0 | 8 | | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | | |
STEP 8: BRING DOWN
|
| 0 | 8 | | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
STEP 9: DIVIDE 60 : 8 = 7 with a remainder of 4
|
| 0 | 8 | 7 | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
STEP 10: MULTIPLY 7 · 8 = 56
|
| 0 | 8 | 7 | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| | 5 | 6 | |
STEP 11: SUBTRACT 60 - 56 = 4
|
| 0 | 8 | 7 | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | |
STEP 12: BRING DOWN
|
| 0 | 8 | 7 | |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | 0 |
STEP 13: DIVIDE 40 : 8 = 5 with a remainder of 0
|
| 0 | 8 | 7 | 5 |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | 0 |
STEP 14: MULTIPLY 5 · 8 = 40
|
| 0 | 8 | 7 | 5 |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | 0 |
| | | 4 | 0 |
STEP 15: SUBTRACT 40 - 40 = 0
|
| 0 | 8 | 7 | 5 |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | 0 |
| | – | 4 | 0 |
| | | | 0 |
STEP 15: SUBTRACT 40 - 40 = 0
|
| 0 | 8 | 7 | 5 |
8 | 7 | 0 | 0 | 0 |
– | 0 | | | |
| 7 | 0 | | |
– | 6 | 4 | | |
| | 6 | 0 | |
| – | 5 | 6 | |
| | | 4 | 0 |
| | – | 4 | 0 |
| | | | 0 |
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