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Question
What is the quotient and remainder when $ 9170 $ is divided by $ 6 $ ?
Answer
The quotient is 1528 and the remainder is 2.
Explanation
|
Division Table
|
| | 1 | 5 | 2 | 8 |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | 0 |
| | | – | 4 | 8 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 9 | 1 | 7 | 0 |
STEP 1: DIVIDE 9 : 6 = 1 with a remainder of 3
|
| | 1 | | | |
| 6 | 9 | 1 | 7 | 0 |
STEP 2: MULTIPLY 1 · 6 = 6
|
| | 1 | | | |
| 6 | 9 | 1 | 7 | 0 |
| | 6 | | | |
STEP 3: SUBTRACT 9 - 6 = 3
|
| | 1 | | | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
STEP 5: DIVIDE 31 : 6 = 5 with a remainder of 1
|
| | 1 | 5 | | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
STEP 6: MULTIPLY 5 · 6 = 30
|
| | 1 | 5 | | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| | 3 | 0 | | |
STEP 7: SUBTRACT 31 - 30 = 1
|
| | 1 | 5 | | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 5 | | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
STEP 9: DIVIDE 17 : 6 = 2 with a remainder of 5
|
| | 1 | 5 | 2 | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
STEP 10: MULTIPLY 2 · 6 = 12
|
| | 1 | 5 | 2 | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | | 1 | 2 | |
STEP 11: SUBTRACT 17 - 12 = 5
|
| | 1 | 5 | 2 | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | |
|
STEP 12: BRING DOWN
|
| | 1 | 5 | 2 | |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | 0 |
STEP 13: DIVIDE 50 : 6 = 8 with a remainder of 2
|
| | 1 | 5 | 2 | 8 |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | 0 |
STEP 14: MULTIPLY 8 · 6 = 48
|
| | 1 | 5 | 2 | 8 |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | 0 |
| | | | 4 | 8 |
STEP 15: SUBTRACT 50 - 48 = 2
|
| | 1 | 5 | 2 | 8 |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | 0 |
| | | – | 4 | 8 |
| | | | | 2 |
STEP 15: SUBTRACT 50 - 48 = 2
|
| | 1 | 5 | 2 | 8 |
| 6 | 9 | 1 | 7 | 0 |
| – | 6 | | | |
| | 3 | 1 | | |
| – | 3 | 0 | | |
| | | 1 | 7 | |
| | – | 1 | 2 | |
| | | | 5 | 0 |
| | | – | 4 | 8 |
| | | | | 2 |
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