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Question
What is the quotient and remainder when $ 1242 $ is divided by $ 99 $ ?
Answer
The quotient is 12 and the remainder is 54.
Explanation
|
Division Table
|
| | | 0 | 0 | 1 | 2 |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | 2 |
| | | – | 1 | 9 | 8 |
| | | | | 5 | 4 |
STEP 0: set up a division table
|
| | | | | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
STEP 1: DIVIDE 1 : 99 = 0 with a remainder of 1
|
| | | 0 | | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
STEP 2: MULTIPLY 0 · 99 = 0
|
| | | 0 | | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
STEP 5: DIVIDE 12 : 99 = 0 with a remainder of 12
|
| | | 0 | 0 | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
STEP 6: MULTIPLY 0 · 99 = 0
|
| | | 0 | 0 | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | | 0 | 0 | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
STEP 9: DIVIDE 124 : 99 = 1 with a remainder of 25
|
| | | 0 | 0 | 1 | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
STEP 10: MULTIPLY 1 · 99 = 99
|
| | | 0 | 0 | 1 | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | | 9 | 9 | |
STEP 11: SUBTRACT 124 - 99 = 25
|
| | | 0 | 0 | 1 | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 1 | |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | 2 |
STEP 13: DIVIDE 252 : 99 = 2 with a remainder of 54
|
| | | 0 | 0 | 1 | 2 |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | 2 |
STEP 14: MULTIPLY 2 · 99 = 198
|
| | | 0 | 0 | 1 | 2 |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | 2 |
| | | | 1 | 9 | 8 |
STEP 15: SUBTRACT 252 - 198 = 54
|
| | | 0 | 0 | 1 | 2 |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | 2 |
| | | – | 1 | 9 | 8 |
| | | | | 5 | 4 |
STEP 15: SUBTRACT 252 - 198 = 54
|
| | | 0 | 0 | 1 | 2 |
| 9 | 9 | 1 | 2 | 4 | 2 |
| | – | 0 | | | |
| | | 1 | 2 | | |
| | | – | 0 | | |
| | | 1 | 2 | 4 | |
| | | – | 9 | 9 | |
| | | | 2 | 5 | 2 |
| | | – | 1 | 9 | 8 |
| | | | | 5 | 4 |
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