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Question
What is the quotient and remainder when $ 2400 $ is divided by $ 300 $ ?
Answer
The quotient is 8 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 8 |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | 0 |
| | | – | 2 | 4 | 0 | 0 |
| | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
STEP 1: DIVIDE 2 : 300 = 0 with a remainder of 2
|
| | | | 0 | | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
STEP 2: MULTIPLY 0 · 300 = 0
|
| | | | 0 | | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | | 0 | | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
STEP 5: DIVIDE 24 : 300 = 0 with a remainder of 24
|
| | | | 0 | 0 | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
STEP 6: MULTIPLY 0 · 300 = 0
|
| | | | 0 | 0 | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 24 - 0 = 24
|
| | | | 0 | 0 | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
STEP 9: DIVIDE 240 : 300 = 0 with a remainder of 240
|
| | | | 0 | 0 | 0 | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
STEP 10: MULTIPLY 0 · 300 = 0
|
| | | | 0 | 0 | 0 | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 240 - 0 = 240
|
| | | | 0 | 0 | 0 | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | 0 |
STEP 13: DIVIDE 2400 : 300 = 8 with a remainder of 0
|
| | | | 0 | 0 | 0 | 8 |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | 0 |
STEP 14: MULTIPLY 8 · 300 = 2400
|
| | | | 0 | 0 | 0 | 8 |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | 0 |
| | | | 2 | 4 | 0 | 0 |
STEP 15: SUBTRACT 2400 - 2400 = 0
|
| | | | 0 | 0 | 0 | 8 |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | 0 |
| | | – | 2 | 4 | 0 | 0 |
| | | | | | | 0 |
STEP 15: SUBTRACT 2400 - 2400 = 0
|
| | | | 0 | 0 | 0 | 8 |
| 3 | 0 | 0 | 2 | 4 | 0 | 0 |
| | | – | 0 | | | |
| | | | 2 | 4 | | |
| | | | – | 0 | | |
| | | | 2 | 4 | 0 | |
| | | | | – | 0 | |
| | | | 2 | 4 | 0 | 0 |
| | | – | 2 | 4 | 0 | 0 |
| | | | | | | 0 |
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