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What is the quotient and remainder when $ 1035 $ is divided by $ 6 $ ?
Answer
The quotient is 172 and the remainder is 3.
Explanation
Division Table
|
| 0 | 1 | 7 | 2 |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | 5 |
| | – | 1 | 2 |
| | | | 3 |
STEP 0: set up a division table
|
| | | | |
6 | 1 | 0 | 3 | 5 |
STEP 1: DIVIDE 1 : 6 = 0 with a remainder of 1
|
| 0 | | | |
6 | 1 | 0 | 3 | 5 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | | |
6 | 1 | 0 | 3 | 5 |
| 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
STEP 5: DIVIDE 10 : 6 = 1 with a remainder of 4
|
| 0 | 1 | | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
STEP 6: MULTIPLY 1 · 6 = 6
|
| 0 | 1 | | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| | 6 | | |
STEP 7: SUBTRACT 10 - 6 = 4
|
| 0 | 1 | | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | | |
STEP 8: BRING DOWN
|
| 0 | 1 | | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
STEP 9: DIVIDE 43 : 6 = 7 with a remainder of 1
|
| 0 | 1 | 7 | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
STEP 10: MULTIPLY 7 · 6 = 42
|
| 0 | 1 | 7 | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| | 4 | 2 | |
STEP 11: SUBTRACT 43 - 42 = 1
|
| 0 | 1 | 7 | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | |
STEP 12: BRING DOWN
|
| 0 | 1 | 7 | |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | 5 |
STEP 13: DIVIDE 15 : 6 = 2 with a remainder of 3
|
| 0 | 1 | 7 | 2 |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | 5 |
STEP 14: MULTIPLY 2 · 6 = 12
|
| 0 | 1 | 7 | 2 |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | 5 |
| | | 1 | 2 |
STEP 15: SUBTRACT 15 - 12 = 3
|
| 0 | 1 | 7 | 2 |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | 5 |
| | – | 1 | 2 |
| | | | 3 |
STEP 15: SUBTRACT 15 - 12 = 3
|
| 0 | 1 | 7 | 2 |
6 | 1 | 0 | 3 | 5 |
– | 0 | | | |
| 1 | 0 | | |
| – | 6 | | |
| | 4 | 3 | |
| – | 4 | 2 | |
| | | 1 | 5 |
| | – | 1 | 2 |
| | | | 3 |
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