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Question
What is the quotient and remainder when $ 9972 $ is divided by $ 6 $ ?
Answer
The quotient is 1662 and the remainder is 0.
Explanation
|
Division Table
|
| | 1 | 6 | 6 | 2 |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 2 |
| | | – | 1 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 9 | 9 | 7 | 2 |
STEP 1: DIVIDE 9 : 6 = 1 with a remainder of 3
|
| | 1 | | | |
| 6 | 9 | 9 | 7 | 2 |
STEP 2: MULTIPLY 1 · 6 = 6
|
| | 1 | | | |
| 6 | 9 | 9 | 7 | 2 |
| | 6 | | | |
STEP 3: SUBTRACT 9 - 6 = 3
|
| | 1 | | | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
STEP 5: DIVIDE 39 : 6 = 6 with a remainder of 3
|
| | 1 | 6 | | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
STEP 6: MULTIPLY 6 · 6 = 36
|
| | 1 | 6 | | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| | 3 | 6 | | |
STEP 7: SUBTRACT 39 - 36 = 3
|
| | 1 | 6 | | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 6 | | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
STEP 9: DIVIDE 37 : 6 = 6 with a remainder of 1
|
| | 1 | 6 | 6 | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
STEP 10: MULTIPLY 6 · 6 = 36
|
| | 1 | 6 | 6 | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | | 3 | 6 | |
STEP 11: SUBTRACT 37 - 36 = 1
|
| | 1 | 6 | 6 | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | |
|
STEP 12: BRING DOWN
|
| | 1 | 6 | 6 | |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 2 |
STEP 13: DIVIDE 12 : 6 = 2 with a remainder of 0
|
| | 1 | 6 | 6 | 2 |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 2 |
STEP 14: MULTIPLY 2 · 6 = 12
|
| | 1 | 6 | 6 | 2 |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 2 |
| | | | 1 | 2 |
STEP 15: SUBTRACT 12 - 12 = 0
|
| | 1 | 6 | 6 | 2 |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 2 |
| | | – | 1 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 12 - 12 = 0
|
| | 1 | 6 | 6 | 2 |
| 6 | 9 | 9 | 7 | 2 |
| – | 6 | | | |
| | 3 | 9 | | |
| – | 3 | 6 | | |
| | | 3 | 7 | |
| | – | 3 | 6 | |
| | | | 1 | 2 |
| | | – | 1 | 2 |
| | | | | 0 |
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