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Question
What is the quotient and remainder when $ 163 $ is divided by $ 6 $ ?
Answer
The quotient is 27 and the remainder is 1.
Explanation
|
Division Table
|
| | 0 | 2 | 7 |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | 3 |
| | – | 4 | 2 |
| | | | 1 |
STEP 0: set up a division table
|
| | | | |
| 6 | 1 | 6 | 3 |
STEP 1: DIVIDE 1 : 6 = 0 with a remainder of 1
|
| | 0 | | |
| 6 | 1 | 6 | 3 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | |
| 6 | 1 | 6 | 3 |
| | 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
STEP 5: DIVIDE 16 : 6 = 2 with a remainder of 4
|
| | 0 | 2 | |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
STEP 6: MULTIPLY 2 · 6 = 12
|
| | 0 | 2 | |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| | 1 | 2 | |
STEP 7: SUBTRACT 16 - 12 = 4
|
| | 0 | 2 | |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | |
|
STEP 8: BRING DOWN
|
| | 0 | 2 | |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | 3 |
STEP 9: DIVIDE 43 : 6 = 7 with a remainder of 1
|
| | 0 | 2 | 7 |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | 3 |
STEP 10: MULTIPLY 7 · 6 = 42
|
| | 0 | 2 | 7 |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | 3 |
| | | 4 | 2 |
STEP 11: SUBTRACT 43 - 42 = 1
|
| | 0 | 2 | 7 |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | 3 |
| | – | 4 | 2 |
| | | | 1 |
STEP 11: SUBTRACT 43 - 42 = 1
|
| | 0 | 2 | 7 |
| 6 | 1 | 6 | 3 |
| – | 0 | | |
| | 1 | 6 | |
| – | 1 | 2 | |
| | | 4 | 3 |
| | – | 4 | 2 |
| | | | 1 |
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