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Question
What is the quotient and remainder when $ 1512 $ is divided by $ 8 $ ?
Answer
The quotient is 189 and the remainder is 0.
Explanation
Division Table
|
| 0 | 1 | 8 | 9 |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | 2 |
| | – | 7 | 2 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
8 | 1 | 5 | 1 | 2 |
STEP 1: DIVIDE 1 : 8 = 0 with a remainder of 1
|
| 0 | | | |
8 | 1 | 5 | 1 | 2 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | | |
8 | 1 | 5 | 1 | 2 |
| 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
STEP 5: DIVIDE 15 : 8 = 1 with a remainder of 7
|
| 0 | 1 | | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
STEP 6: MULTIPLY 1 · 8 = 8
|
| 0 | 1 | | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| | 8 | | |
STEP 7: SUBTRACT 15 - 8 = 7
|
| 0 | 1 | | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | | |
STEP 8: BRING DOWN
|
| 0 | 1 | | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
STEP 9: DIVIDE 71 : 8 = 8 with a remainder of 7
|
| 0 | 1 | 8 | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
STEP 10: MULTIPLY 8 · 8 = 64
|
| 0 | 1 | 8 | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| | 6 | 4 | |
STEP 11: SUBTRACT 71 - 64 = 7
|
| 0 | 1 | 8 | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | |
STEP 12: BRING DOWN
|
| 0 | 1 | 8 | |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | 2 |
STEP 13: DIVIDE 72 : 8 = 9 with a remainder of 0
|
| 0 | 1 | 8 | 9 |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | 2 |
STEP 14: MULTIPLY 9 · 8 = 72
|
| 0 | 1 | 8 | 9 |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | 2 |
| | | 7 | 2 |
STEP 15: SUBTRACT 72 - 72 = 0
|
| 0 | 1 | 8 | 9 |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | 2 |
| | – | 7 | 2 |
| | | | 0 |
STEP 15: SUBTRACT 72 - 72 = 0
|
| 0 | 1 | 8 | 9 |
8 | 1 | 5 | 1 | 2 |
– | 0 | | | |
| 1 | 5 | | |
| – | 8 | | |
| | 7 | 1 | |
| – | 6 | 4 | |
| | | 7 | 2 |
| | – | 7 | 2 |
| | | | 0 |
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