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Question
What is the quotient and remainder when $ 900 $ is divided by $ 48 $ ?
Answer
The quotient is 18 and the remainder is 36.
Explanation
|
Division Table
|
| | | 0 | 1 | 8 |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | 0 |
| | – | 3 | 8 | 4 |
| | | | 3 | 6 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 8 | 9 | 0 | 0 |
STEP 1: DIVIDE 9 : 48 = 0 with a remainder of 9
|
| | | 0 | | |
| 4 | 8 | 9 | 0 | 0 |
STEP 2: MULTIPLY 0 · 48 = 0
|
| | | 0 | | |
| 4 | 8 | 9 | 0 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
STEP 5: DIVIDE 90 : 48 = 1 with a remainder of 42
|
| | | 0 | 1 | |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
STEP 6: MULTIPLY 1 · 48 = 48
|
| | | 0 | 1 | |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | | 4 | 8 | |
STEP 7: SUBTRACT 90 - 48 = 42
|
| | | 0 | 1 | |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | 0 |
STEP 9: DIVIDE 420 : 48 = 8 with a remainder of 36
|
| | | 0 | 1 | 8 |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | 0 |
STEP 10: MULTIPLY 8 · 48 = 384
|
| | | 0 | 1 | 8 |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | 0 |
| | | 3 | 8 | 4 |
STEP 11: SUBTRACT 420 - 384 = 36
|
| | | 0 | 1 | 8 |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | 0 |
| | – | 3 | 8 | 4 |
| | | | 3 | 6 |
STEP 11: SUBTRACT 420 - 384 = 36
|
| | | 0 | 1 | 8 |
| 4 | 8 | 9 | 0 | 0 |
| | – | 0 | | |
| | | 9 | 0 | |
| | – | 4 | 8 | |
| | | 4 | 2 | 0 |
| | – | 3 | 8 | 4 |
| | | | 3 | 6 |
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