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What is the quotient and remainder when $ 1056 $ is divided by $ 8 $ ?
Answer
The quotient is 132 and the remainder is 0.
Explanation
Division Table
|
| 0 | 1 | 3 | 2 |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 6 |
| | – | 1 | 6 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
8 | 1 | 0 | 5 | 6 |
STEP 1: DIVIDE 1 : 8 = 0 with a remainder of 1
|
| 0 | | | |
8 | 1 | 0 | 5 | 6 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | | |
8 | 1 | 0 | 5 | 6 |
| 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
STEP 5: DIVIDE 10 : 8 = 1 with a remainder of 2
|
| 0 | 1 | | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
STEP 6: MULTIPLY 1 · 8 = 8
|
| 0 | 1 | | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| | 8 | | |
STEP 7: SUBTRACT 10 - 8 = 2
|
| 0 | 1 | | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 0 | 1 | | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
STEP 9: DIVIDE 25 : 8 = 3 with a remainder of 1
|
| 0 | 1 | 3 | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
STEP 10: MULTIPLY 3 · 8 = 24
|
| 0 | 1 | 3 | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| | 2 | 4 | |
STEP 11: SUBTRACT 25 - 24 = 1
|
| 0 | 1 | 3 | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | |
STEP 12: BRING DOWN
|
| 0 | 1 | 3 | |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 6 |
STEP 13: DIVIDE 16 : 8 = 2 with a remainder of 0
|
| 0 | 1 | 3 | 2 |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 6 |
STEP 14: MULTIPLY 2 · 8 = 16
|
| 0 | 1 | 3 | 2 |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 6 |
| | | 1 | 6 |
STEP 15: SUBTRACT 16 - 16 = 0
|
| 0 | 1 | 3 | 2 |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 6 |
| | – | 1 | 6 |
| | | | 0 |
STEP 15: SUBTRACT 16 - 16 = 0
|
| 0 | 1 | 3 | 2 |
8 | 1 | 0 | 5 | 6 |
– | 0 | | | |
| 1 | 0 | | |
| – | 8 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 6 |
| | – | 1 | 6 |
| | | | 0 |
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