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Question
What is the quotient and remainder when $ 498 $ is divided by $ 120 $ ?
Answer
The quotient is 4 and the remainder is 18.
Explanation
|
Division Table
|
| | | | 0 | 0 | 4 |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | 8 |
| | | – | 4 | 8 | 0 |
| | | | | 1 | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 2 | 0 | 4 | 9 | 8 |
STEP 1: DIVIDE 4 : 120 = 0 with a remainder of 4
|
| | | | 0 | | |
| 1 | 2 | 0 | 4 | 9 | 8 |
STEP 2: MULTIPLY 0 · 120 = 0
|
| | | | 0 | | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | | 0 | | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
STEP 5: DIVIDE 49 : 120 = 0 with a remainder of 49
|
| | | | 0 | 0 | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
STEP 6: MULTIPLY 0 · 120 = 0
|
| | | | 0 | 0 | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | | 0 | |
STEP 7: SUBTRACT 49 - 0 = 49
|
| | | | 0 | 0 | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | 8 |
STEP 9: DIVIDE 498 : 120 = 4 with a remainder of 18
|
| | | | 0 | 0 | 4 |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | 8 |
STEP 10: MULTIPLY 4 · 120 = 480
|
| | | | 0 | 0 | 4 |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | 8 |
| | | | 4 | 8 | 0 |
STEP 11: SUBTRACT 498 - 480 = 18
|
| | | | 0 | 0 | 4 |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | 8 |
| | | – | 4 | 8 | 0 |
| | | | | 1 | 8 |
STEP 11: SUBTRACT 498 - 480 = 18
|
| | | | 0 | 0 | 4 |
| 1 | 2 | 0 | 4 | 9 | 8 |
| | | – | 0 | | |
| | | | 4 | 9 | |
| | | | – | 0 | |
| | | | 4 | 9 | 8 |
| | | – | 4 | 8 | 0 |
| | | | | 1 | 8 |
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