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Question
What is the quotient and remainder when $ 7106 $ is divided by $ 8 $ ?
Answer
The quotient is 888 and the remainder is 2.
Explanation
|
Division Table
|
| | 0 | 8 | 8 | 8 |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | 6 |
| | | – | 6 | 4 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 7 | 1 | 0 | 6 |
STEP 1: DIVIDE 7 : 8 = 0 with a remainder of 7
|
| | 0 | | | |
| 8 | 7 | 1 | 0 | 6 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 7 | 1 | 0 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
STEP 5: DIVIDE 71 : 8 = 8 with a remainder of 7
|
| | 0 | 8 | | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
STEP 6: MULTIPLY 8 · 8 = 64
|
| | 0 | 8 | | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| | 6 | 4 | | |
STEP 7: SUBTRACT 71 - 64 = 7
|
| | 0 | 8 | | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
STEP 9: DIVIDE 70 : 8 = 8 with a remainder of 6
|
| | 0 | 8 | 8 | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
STEP 10: MULTIPLY 8 · 8 = 64
|
| | 0 | 8 | 8 | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | | 6 | 4 | |
STEP 11: SUBTRACT 70 - 64 = 6
|
| | 0 | 8 | 8 | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 8 | |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | 6 |
STEP 13: DIVIDE 66 : 8 = 8 with a remainder of 2
|
| | 0 | 8 | 8 | 8 |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | 6 |
STEP 14: MULTIPLY 8 · 8 = 64
|
| | 0 | 8 | 8 | 8 |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | 6 |
| | | | 6 | 4 |
STEP 15: SUBTRACT 66 - 64 = 2
|
| | 0 | 8 | 8 | 8 |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | 6 |
| | | – | 6 | 4 |
| | | | | 2 |
STEP 15: SUBTRACT 66 - 64 = 2
|
| | 0 | 8 | 8 | 8 |
| 8 | 7 | 1 | 0 | 6 |
| – | 0 | | | |
| | 7 | 1 | | |
| – | 6 | 4 | | |
| | | 7 | 0 | |
| | – | 6 | 4 | |
| | | | 6 | 6 |
| | | – | 6 | 4 |
| | | | | 2 |
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