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Question
What is the quotient and remainder when $ 897 $ is divided by $ 14 $ ?
Answer
The quotient is 64 and the remainder is 1.
Explanation
Division Table
|
| | 0 | 6 | 4 |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | 7 |
| | – | 5 | 6 |
| | | | 1 |
STEP 0: set up a division table
|
| | | | |
1 | 4 | 8 | 9 | 7 |
STEP 1: DIVIDE 8 : 14 = 0 with a remainder of 8
|
| | 0 | | |
1 | 4 | 8 | 9 | 7 |
STEP 2: MULTIPLY 0 · 14 = 0
|
| | 0 | | |
1 | 4 | 8 | 9 | 7 |
| | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
STEP 5: DIVIDE 89 : 14 = 6 with a remainder of 5
|
| | 0 | 6 | |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
STEP 6: MULTIPLY 6 · 14 = 84
|
| | 0 | 6 | |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| | 8 | 4 | |
STEP 7: SUBTRACT 89 - 84 = 5
|
| | 0 | 6 | |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | |
STEP 8: BRING DOWN
|
| | 0 | 6 | |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | 7 |
STEP 9: DIVIDE 57 : 14 = 4 with a remainder of 1
|
| | 0 | 6 | 4 |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | 7 |
STEP 10: MULTIPLY 4 · 14 = 56
|
| | 0 | 6 | 4 |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | 7 |
| | | 5 | 6 |
STEP 11: SUBTRACT 57 - 56 = 1
|
| | 0 | 6 | 4 |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | 7 |
| | – | 5 | 6 |
| | | | 1 |
STEP 11: SUBTRACT 57 - 56 = 1
|
| | 0 | 6 | 4 |
1 | 4 | 8 | 9 | 7 |
| – | 0 | | |
| | 8 | 9 | |
| – | 8 | 4 | |
| | | 5 | 7 |
| | – | 5 | 6 |
| | | | 1 |
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