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Question
What is the quotient and remainder when $ 98287 $ is divided by $ 6 $ ?
Answer
The quotient is 16381 and the remainder is 1.
Explanation
|
Division Table
|
| | 1 | 6 | 3 | 8 | 1 |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
| | | | – | 6 | |
| | | | | 1 | |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
STEP 1: DIVIDE 9 : 6 = 1 with a remainder of 3
|
| | 1 | | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
STEP 2: MULTIPLY 1 · 6 = 6
|
| | 1 | | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| | 6 | | | | |
STEP 3: SUBTRACT 9 - 6 = 3
|
| | 1 | | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
STEP 5: DIVIDE 38 : 6 = 6 with a remainder of 2
|
| | 1 | 6 | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
STEP 6: MULTIPLY 6 · 6 = 36
|
| | 1 | 6 | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| | 3 | 6 | | | |
STEP 7: SUBTRACT 38 - 36 = 2
|
| | 1 | 6 | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | | | |
|
STEP 8: BRING DOWN
|
| | 1 | 6 | | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
STEP 9: DIVIDE 22 : 6 = 3 with a remainder of 4
|
| | 1 | 6 | 3 | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
STEP 10: MULTIPLY 3 · 6 = 18
|
| | 1 | 6 | 3 | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | | 1 | 8 | | |
STEP 11: SUBTRACT 22 - 18 = 4
|
| | 1 | 6 | 3 | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | | |
|
STEP 12: BRING DOWN
|
| | 1 | 6 | 3 | | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
STEP 13: DIVIDE 48 : 6 = 8 with a remainder of 0
|
| | 1 | 6 | 3 | 8 | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
STEP 14: MULTIPLY 8 · 6 = 48
|
| | 1 | 6 | 3 | 8 | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | | 4 | 8 | |
STEP 15: SUBTRACT 48 - 48 = 0
|
| | 1 | 6 | 3 | 8 | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 0 | |
|
STEP 16: BRING DOWN
|
| | 1 | 6 | 3 | 8 | |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
STEP 17: DIVIDE 7 : 6 = 1 with a remainder of 1
|
| | 1 | 6 | 3 | 8 | 1 |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
STEP 18: MULTIPLY 1 · 6 = 6
|
| | 1 | 6 | 3 | 8 | 1 |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
| | | | | 6 | |
STEP 19: SUBTRACT 7 - 6 = 1
|
| | 1 | 6 | 3 | 8 | 1 |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
| | | | – | 6 | |
| | | | | 1 | |
STEP 19: SUBTRACT 7 - 6 = 1
|
| | 1 | 6 | 3 | 8 | 1 |
| 6 | 9 | 8 | 2 | 8 | 7 |
| – | 6 | | | | |
| | 3 | 8 | | | |
| – | 3 | 6 | | | |
| | | 2 | 2 | | |
| | – | 1 | 8 | | |
| | | | 4 | 8 | |
| | | – | 4 | 8 | |
| | | | | 7 | |
| | | | – | 6 | |
| | | | | 1 | |
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