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Question
What is the quotient and remainder when $ 6499 $ is divided by $ 8 $ ?
Answer
The quotient is 812 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 8 | 1 | 2 |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | – | 1 | 6 | |
| | | | 3 | |
STEP 0: set up a division table
|
| | | | | |
| 8 | 6 | 4 | 9 | 9 |
STEP 1: DIVIDE 6 : 8 = 0 with a remainder of 6
|
| | 0 | | | |
| 8 | 6 | 4 | 9 | 9 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 6 | 4 | 9 | 9 |
| | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
STEP 5: DIVIDE 64 : 8 = 8 with a remainder of 0
|
| | 0 | 8 | | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
STEP 6: MULTIPLY 8 · 8 = 64
|
| | 0 | 8 | | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| | 6 | 4 | | |
STEP 7: SUBTRACT 64 - 64 = 0
|
| | 0 | 8 | | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
STEP 9: DIVIDE 9 : 8 = 1 with a remainder of 1
|
| | 0 | 8 | 1 | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
STEP 10: MULTIPLY 1 · 8 = 8
|
| | 0 | 8 | 1 | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | | 8 | | |
STEP 11: SUBTRACT 9 - 8 = 1
|
| | 0 | 8 | 1 | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 1 | |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
STEP 13: DIVIDE 19 : 8 = 2 with a remainder of 3
|
| | 0 | 8 | 1 | 2 |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
STEP 14: MULTIPLY 2 · 8 = 16
|
| | 0 | 8 | 1 | 2 |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | | 1 | 6 | |
STEP 15: SUBTRACT 19 - 16 = 3
|
| | 0 | 8 | 1 | 2 |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | – | 1 | 6 | |
| | | | 3 | |
STEP 15: SUBTRACT 19 - 16 = 3
|
| | 0 | 8 | 1 | 2 |
| 8 | 6 | 4 | 9 | 9 |
| – | 0 | | | |
| | 6 | 4 | | |
| – | 6 | 4 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | – | 1 | 6 | |
| | | | 3 | |
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