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Question
What is the quotient and remainder when $ 5783 $ is divided by $ 6 $ ?
Answer
The quotient is 963 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 9 | 6 | 3 |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | 3 |
| | | – | 1 | 8 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 5 | 7 | 8 | 3 |
STEP 1: DIVIDE 5 : 6 = 0 with a remainder of 5
|
| | 0 | | | |
| 6 | 5 | 7 | 8 | 3 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | |
| 6 | 5 | 7 | 8 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
STEP 5: DIVIDE 57 : 6 = 9 with a remainder of 3
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
STEP 6: MULTIPLY 9 · 6 = 54
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| | 5 | 4 | | |
STEP 7: SUBTRACT 57 - 54 = 3
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 9 | | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
STEP 9: DIVIDE 38 : 6 = 6 with a remainder of 2
|
| | 0 | 9 | 6 | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
STEP 10: MULTIPLY 6 · 6 = 36
|
| | 0 | 9 | 6 | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | | 3 | 6 | |
STEP 11: SUBTRACT 38 - 36 = 2
|
| | 0 | 9 | 6 | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | |
|
STEP 12: BRING DOWN
|
| | 0 | 9 | 6 | |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | 3 |
STEP 13: DIVIDE 23 : 6 = 3 with a remainder of 5
|
| | 0 | 9 | 6 | 3 |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | 3 |
STEP 14: MULTIPLY 3 · 6 = 18
|
| | 0 | 9 | 6 | 3 |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | 3 |
| | | | 1 | 8 |
STEP 15: SUBTRACT 23 - 18 = 5
|
| | 0 | 9 | 6 | 3 |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | 3 |
| | | – | 1 | 8 |
| | | | | 5 |
STEP 15: SUBTRACT 23 - 18 = 5
|
| | 0 | 9 | 6 | 3 |
| 6 | 5 | 7 | 8 | 3 |
| – | 0 | | | |
| | 5 | 7 | | |
| – | 5 | 4 | | |
| | | 3 | 8 | |
| | – | 3 | 6 | |
| | | | 2 | 3 |
| | | – | 1 | 8 |
| | | | | 5 |
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