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Question
What is the quotient and remainder when $ 448 $ is divided by $ 48 $ ?
Answer
The quotient is 9 and the remainder is 16.
Explanation
|
Division Table
|
| | | 0 | 0 | 9 |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | 8 |
| | – | 4 | 3 | 2 |
| | | | 1 | 6 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 8 | 4 | 4 | 8 |
STEP 1: DIVIDE 4 : 48 = 0 with a remainder of 4
|
| | | 0 | | |
| 4 | 8 | 4 | 4 | 8 |
STEP 2: MULTIPLY 0 · 48 = 0
|
| | | 0 | | |
| 4 | 8 | 4 | 4 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
STEP 5: DIVIDE 44 : 48 = 0 with a remainder of 44
|
| | | 0 | 0 | |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
STEP 6: MULTIPLY 0 · 48 = 0
|
| | | 0 | 0 | |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | | 0 | |
STEP 7: SUBTRACT 44 - 0 = 44
|
| | | 0 | 0 | |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | 8 |
STEP 9: DIVIDE 448 : 48 = 9 with a remainder of 16
|
| | | 0 | 0 | 9 |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | 8 |
STEP 10: MULTIPLY 9 · 48 = 432
|
| | | 0 | 0 | 9 |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | 8 |
| | | 4 | 3 | 2 |
STEP 11: SUBTRACT 448 - 432 = 16
|
| | | 0 | 0 | 9 |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | 8 |
| | – | 4 | 3 | 2 |
| | | | 1 | 6 |
STEP 11: SUBTRACT 448 - 432 = 16
|
| | | 0 | 0 | 9 |
| 4 | 8 | 4 | 4 | 8 |
| | – | 0 | | |
| | | 4 | 4 | |
| | | – | 0 | |
| | | 4 | 4 | 8 |
| | – | 4 | 3 | 2 |
| | | | 1 | 6 |
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