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Question
What is the quotient and remainder when $ 4899 $ is divided by $ 8 $ ?
Answer
The quotient is 612 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 6 | 1 | 2 |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | – | 1 | 6 | |
| | | | 3 | |
STEP 0: set up a division table
|
| | | | | |
| 8 | 4 | 8 | 9 | 9 |
STEP 1: DIVIDE 4 : 8 = 0 with a remainder of 4
|
| | 0 | | | |
| 8 | 4 | 8 | 9 | 9 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 4 | 8 | 9 | 9 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 5: DIVIDE 48 : 8 = 6 with a remainder of 0
|
| | 0 | 6 | | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 6: MULTIPLY 6 · 8 = 48
|
| | 0 | 6 | | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| | 4 | 8 | | |
STEP 7: SUBTRACT 48 - 48 = 0
|
| | 0 | 6 | | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
STEP 9: DIVIDE 9 : 8 = 1 with a remainder of 1
|
| | 0 | 6 | 1 | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
STEP 10: MULTIPLY 1 · 8 = 8
|
| | 0 | 6 | 1 | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | | 8 | | |
STEP 11: SUBTRACT 9 - 8 = 1
|
| | 0 | 6 | 1 | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 6 | 1 | |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
STEP 13: DIVIDE 19 : 8 = 2 with a remainder of 3
|
| | 0 | 6 | 1 | 2 |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
STEP 14: MULTIPLY 2 · 8 = 16
|
| | 0 | 6 | 1 | 2 |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | | 1 | 6 | |
STEP 15: SUBTRACT 19 - 16 = 3
|
| | 0 | 6 | 1 | 2 |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | – | 1 | 6 | |
| | | | 3 | |
STEP 15: SUBTRACT 19 - 16 = 3
|
| | 0 | 6 | 1 | 2 |
| 8 | 4 | 8 | 9 | 9 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 8 | | |
| | | 1 | 9 | |
| | – | 1 | 6 | |
| | | | 3 | |
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