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Question
What is the quotient and remainder when $ 948 $ is divided by $ 300 $ ?
Answer
The quotient is 3 and the remainder is 48.
Explanation
|
Division Table
|
| | | | 0 | 0 | 3 |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | 8 |
| | | – | 9 | 0 | 0 |
| | | | | 4 | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 0 | 0 | 9 | 4 | 8 |
STEP 1: DIVIDE 9 : 300 = 0 with a remainder of 9
|
| | | | 0 | | |
| 3 | 0 | 0 | 9 | 4 | 8 |
STEP 2: MULTIPLY 0 · 300 = 0
|
| | | | 0 | | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | | 0 | | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
STEP 5: DIVIDE 94 : 300 = 0 with a remainder of 94
|
| | | | 0 | 0 | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
STEP 6: MULTIPLY 0 · 300 = 0
|
| | | | 0 | 0 | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | | 0 | |
STEP 7: SUBTRACT 94 - 0 = 94
|
| | | | 0 | 0 | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | 8 |
STEP 9: DIVIDE 948 : 300 = 3 with a remainder of 48
|
| | | | 0 | 0 | 3 |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | 8 |
STEP 10: MULTIPLY 3 · 300 = 900
|
| | | | 0 | 0 | 3 |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | 8 |
| | | | 9 | 0 | 0 |
STEP 11: SUBTRACT 948 - 900 = 48
|
| | | | 0 | 0 | 3 |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | 8 |
| | | – | 9 | 0 | 0 |
| | | | | 4 | 8 |
STEP 11: SUBTRACT 948 - 900 = 48
|
| | | | 0 | 0 | 3 |
| 3 | 0 | 0 | 9 | 4 | 8 |
| | | – | 0 | | |
| | | | 9 | 4 | |
| | | | – | 0 | |
| | | | 9 | 4 | 8 |
| | | – | 9 | 0 | 0 |
| | | | | 4 | 8 |
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