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Question
What is the quotient and remainder when $ 40096 $ is divided by $ 8 $ ?
Answer
The quotient is 5012 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 5 | 0 | 1 | 2 |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | 6 | | |
| | – | 1 | 6 | | |
| | | | 0 | | |
STEP 0: set up a division table
|
| | | | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
STEP 1: DIVIDE 4 : 8 = 0 with a remainder of 4
|
| | 0 | | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| | 0 | | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
STEP 5: DIVIDE 40 : 8 = 5 with a remainder of 0
|
| | 0 | 5 | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
STEP 6: MULTIPLY 5 · 8 = 40
|
| | 0 | 5 | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| | 4 | 0 | | | |
STEP 7: SUBTRACT 40 - 40 = 0
|
| | 0 | 5 | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 5 | | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
STEP 9: DIVIDE 0 : 8 = 0 with a remainder of 0
|
| | 0 | 5 | 0 | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
STEP 10: MULTIPLY 0 · 8 = 0
|
| | 0 | 5 | 0 | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | | 0 | | | |
STEP 11: SUBTRACT 0 - 0 = 0
|
| | 0 | 5 | 0 | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 0 | | | |
|
STEP 12: BRING DOWN
|
| | 0 | 5 | 0 | | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
STEP 13: DIVIDE 9 : 8 = 1 with a remainder of 1
|
| | 0 | 5 | 0 | 1 | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
STEP 14: MULTIPLY 1 · 8 = 8
|
| | 0 | 5 | 0 | 1 | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | | 8 | | | |
STEP 15: SUBTRACT 9 - 8 = 1
|
| | 0 | 5 | 0 | 1 | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | | | |
|
STEP 16: BRING DOWN
|
| | 0 | 5 | 0 | 1 | |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | 6 | | |
STEP 17: DIVIDE 16 : 8 = 2 with a remainder of 0
|
| | 0 | 5 | 0 | 1 | 2 |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | 6 | | |
STEP 18: MULTIPLY 2 · 8 = 16
|
| | 0 | 5 | 0 | 1 | 2 |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | 6 | | |
| | | 1 | 6 | | |
STEP 19: SUBTRACT 16 - 16 = 0
|
| | 0 | 5 | 0 | 1 | 2 |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | 6 | | |
| | – | 1 | 6 | | |
| | | | 0 | | |
STEP 19: SUBTRACT 16 - 16 = 0
|
| | 0 | 5 | 0 | 1 | 2 |
| 8 | 4 | 0 | 0 | 9 | 6 |
| – | 0 | | | | |
| | 4 | 0 | | | |
| – | 4 | 0 | | | |
| | | 0 | | | |
| | – | 0 | | | |
| | | 9 | | | |
| | – | 8 | | | |
| | | 1 | 6 | | |
| | – | 1 | 6 | | |
| | | | 0 | | |
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