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Question
What is the quotient and remainder when $ 112 $ is divided by $ 6 $ ?
Answer
The quotient is 18 and the remainder is 4.
Explanation
Division Table
|
| 0 | 1 | 8 |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | 2 |
| – | 4 | 8 |
| | | 4 |
STEP 0: set up a division table
|
| | | |
6 | 1 | 1 | 2 |
STEP 1: DIVIDE 1 : 6 = 0 with a remainder of 1
|
| 0 | | |
6 | 1 | 1 | 2 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| 0 | | |
6 | 1 | 1 | 2 |
| 0 | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| 0 | | |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 0 | | |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
STEP 5: DIVIDE 11 : 6 = 1 with a remainder of 5
|
| 0 | 1 | |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
STEP 6: MULTIPLY 1 · 6 = 6
|
| 0 | 1 | |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| | 6 | |
STEP 7: SUBTRACT 11 - 6 = 5
|
| 0 | 1 | |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | |
STEP 8: BRING DOWN
|
| 0 | 1 | |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | 2 |
STEP 9: DIVIDE 52 : 6 = 8 with a remainder of 4
|
| 0 | 1 | 8 |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | 2 |
STEP 10: MULTIPLY 8 · 6 = 48
|
| 0 | 1 | 8 |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | 2 |
| | 4 | 8 |
STEP 11: SUBTRACT 52 - 48 = 4
|
| 0 | 1 | 8 |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | 2 |
| – | 4 | 8 |
| | | 4 |
STEP 11: SUBTRACT 52 - 48 = 4
|
| 0 | 1 | 8 |
6 | 1 | 1 | 2 |
– | 0 | | |
| 1 | 1 | |
| – | 6 | |
| | 5 | 2 |
| – | 4 | 8 |
| | | 4 |
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