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Question
What is the quotient and remainder when $ 5381 $ is divided by $ 6 $ ?
Answer
The quotient is 896 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 8 | 9 | 6 |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | 1 |
| | | – | 3 | 6 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 5 | 3 | 8 | 1 |
STEP 1: DIVIDE 5 : 6 = 0 with a remainder of 5
|
| | 0 | | | |
| 6 | 5 | 3 | 8 | 1 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | |
| 6 | 5 | 3 | 8 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
STEP 5: DIVIDE 53 : 6 = 8 with a remainder of 5
|
| | 0 | 8 | | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
STEP 6: MULTIPLY 8 · 6 = 48
|
| | 0 | 8 | | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| | 4 | 8 | | |
STEP 7: SUBTRACT 53 - 48 = 5
|
| | 0 | 8 | | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
STEP 9: DIVIDE 58 : 6 = 9 with a remainder of 4
|
| | 0 | 8 | 9 | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
STEP 10: MULTIPLY 9 · 6 = 54
|
| | 0 | 8 | 9 | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | | 5 | 4 | |
STEP 11: SUBTRACT 58 - 54 = 4
|
| | 0 | 8 | 9 | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 9 | |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | 1 |
STEP 13: DIVIDE 41 : 6 = 6 with a remainder of 5
|
| | 0 | 8 | 9 | 6 |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | 1 |
STEP 14: MULTIPLY 6 · 6 = 36
|
| | 0 | 8 | 9 | 6 |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | 1 |
| | | | 3 | 6 |
STEP 15: SUBTRACT 41 - 36 = 5
|
| | 0 | 8 | 9 | 6 |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | 1 |
| | | – | 3 | 6 |
| | | | | 5 |
STEP 15: SUBTRACT 41 - 36 = 5
|
| | 0 | 8 | 9 | 6 |
| 6 | 5 | 3 | 8 | 1 |
| – | 0 | | | |
| | 5 | 3 | | |
| – | 4 | 8 | | |
| | | 5 | 8 | |
| | – | 5 | 4 | |
| | | | 4 | 1 |
| | | – | 3 | 6 |
| | | | | 5 |
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