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Question
What is the quotient and remainder when $ 975 $ is divided by $ 13 $ ?
Answer
The quotient is 75 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 7 | 5 |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | 5 |
| | | – | 6 | 5 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 3 | 9 | 7 | 5 |
STEP 1: DIVIDE 9 : 13 = 0 with a remainder of 9
|
| | | 0 | | |
| 1 | 3 | 9 | 7 | 5 |
STEP 2: MULTIPLY 0 · 13 = 0
|
| | | 0 | | |
| 1 | 3 | 9 | 7 | 5 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
STEP 5: DIVIDE 97 : 13 = 7 with a remainder of 6
|
| | | 0 | 7 | |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
STEP 6: MULTIPLY 7 · 13 = 91
|
| | | 0 | 7 | |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | | 9 | 1 | |
STEP 7: SUBTRACT 97 - 91 = 6
|
| | | 0 | 7 | |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 7 | |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | 5 |
STEP 9: DIVIDE 65 : 13 = 5 with a remainder of 0
|
| | | 0 | 7 | 5 |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | 5 |
STEP 10: MULTIPLY 5 · 13 = 65
|
| | | 0 | 7 | 5 |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | 5 |
| | | | 6 | 5 |
STEP 11: SUBTRACT 65 - 65 = 0
|
| | | 0 | 7 | 5 |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | 5 |
| | | – | 6 | 5 |
| | | | | 0 |
STEP 11: SUBTRACT 65 - 65 = 0
|
| | | 0 | 7 | 5 |
| 1 | 3 | 9 | 7 | 5 |
| | – | 0 | | |
| | | 9 | 7 | |
| | – | 9 | 1 | |
| | | | 6 | 5 |
| | | – | 6 | 5 |
| | | | | 0 |
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