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Question
What is the quotient and remainder when $ 13037 $ is divided by $ 6 $ ?
Answer
The quotient is 2172 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 2 | 1 | 7 | 2 |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | 7 |
| | | | – | 1 | 2 |
| | | | | | 5 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
STEP 1: DIVIDE 1 : 6 = 0 with a remainder of 1
|
| | 0 | | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
STEP 5: DIVIDE 13 : 6 = 2 with a remainder of 1
|
| | 0 | 2 | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
STEP 6: MULTIPLY 2 · 6 = 12
|
| | 0 | 2 | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| | 1 | 2 | | | |
STEP 7: SUBTRACT 13 - 12 = 1
|
| | 0 | 2 | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 2 | | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
STEP 9: DIVIDE 10 : 6 = 1 with a remainder of 4
|
| | 0 | 2 | 1 | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
STEP 10: MULTIPLY 1 · 6 = 6
|
| | 0 | 2 | 1 | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | | 6 | | |
STEP 11: SUBTRACT 10 - 6 = 4
|
| | 0 | 2 | 1 | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 2 | 1 | | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
STEP 13: DIVIDE 43 : 6 = 7 with a remainder of 1
|
| | 0 | 2 | 1 | 7 | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
STEP 14: MULTIPLY 7 · 6 = 42
|
| | 0 | 2 | 1 | 7 | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | | 4 | 2 | |
STEP 15: SUBTRACT 43 - 42 = 1
|
| | 0 | 2 | 1 | 7 | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | |
|
STEP 16: BRING DOWN
|
| | 0 | 2 | 1 | 7 | |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | 7 |
STEP 17: DIVIDE 17 : 6 = 2 with a remainder of 5
|
| | 0 | 2 | 1 | 7 | 2 |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | 7 |
STEP 18: MULTIPLY 2 · 6 = 12
|
| | 0 | 2 | 1 | 7 | 2 |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | 7 |
| | | | | 1 | 2 |
STEP 19: SUBTRACT 17 - 12 = 5
|
| | 0 | 2 | 1 | 7 | 2 |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | 7 |
| | | | – | 1 | 2 |
| | | | | | 5 |
STEP 19: SUBTRACT 17 - 12 = 5
|
| | 0 | 2 | 1 | 7 | 2 |
| 6 | 1 | 3 | 0 | 3 | 7 |
| – | 0 | | | | |
| | 1 | 3 | | | |
| – | 1 | 2 | | | |
| | | 1 | 0 | | |
| | | – | 6 | | |
| | | | 4 | 3 | |
| | | – | 4 | 2 | |
| | | | | 1 | 7 |
| | | | – | 1 | 2 |
| | | | | | 5 |
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