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What is the quotient and remainder when $ 888 $ is divided by $ 68 $ ?
Answer
The quotient is 13 and the remainder is 4.
Explanation
Division Table
|
| | 0 | 1 | 3 |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | 8 |
| – | 2 | 0 | 4 |
| | | | 4 |
STEP 0: set up a division table
|
| | | | |
6 | 8 | 8 | 8 | 8 |
STEP 1: DIVIDE 8 : 68 = 0 with a remainder of 8
|
| | 0 | | |
6 | 8 | 8 | 8 | 8 |
STEP 2: MULTIPLY 0 · 68 = 0
|
| | 0 | | |
6 | 8 | 8 | 8 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
STEP 5: DIVIDE 88 : 68 = 1 with a remainder of 20
|
| | 0 | 1 | |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
STEP 6: MULTIPLY 1 · 68 = 68
|
| | 0 | 1 | |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| | 6 | 8 | |
STEP 7: SUBTRACT 88 - 68 = 20
|
| | 0 | 1 | |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | 8 |
STEP 9: DIVIDE 208 : 68 = 3 with a remainder of 4
|
| | 0 | 1 | 3 |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | 8 |
STEP 10: MULTIPLY 3 · 68 = 204
|
| | 0 | 1 | 3 |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | 8 |
| | 2 | 0 | 4 |
STEP 11: SUBTRACT 208 - 204 = 4
|
| | 0 | 1 | 3 |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | 8 |
| – | 2 | 0 | 4 |
| | | | 4 |
STEP 11: SUBTRACT 208 - 204 = 4
|
| | 0 | 1 | 3 |
6 | 8 | 8 | 8 | 8 |
| – | 0 | | |
| | 8 | 8 | |
| – | 6 | 8 | |
| | 2 | 0 | 8 |
| – | 2 | 0 | 4 |
| | | | 4 |
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