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Question
What is the quotient and remainder when $ 800 $ is divided by $ 304 $ ?
Answer
The quotient is 2 and the remainder is 192.
Explanation
Division Table
|
| | | 0 | 0 | 2 |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | 0 |
| | – | 6 | 0 | 8 |
| | | 1 | 9 | 2 |
STEP 0: set up a division table
|
| | | | | |
3 | 0 | 4 | 8 | 0 | 0 |
STEP 1: DIVIDE 8 : 304 = 0 with a remainder of 8
|
| | | 0 | | |
3 | 0 | 4 | 8 | 0 | 0 |
STEP 2: MULTIPLY 0 · 304 = 0
|
| | | 0 | | |
3 | 0 | 4 | 8 | 0 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
STEP 5: DIVIDE 80 : 304 = 0 with a remainder of 80
|
| | | 0 | 0 | |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
STEP 6: MULTIPLY 0 · 304 = 0
|
| | | 0 | 0 | |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | | 0 | |
STEP 7: SUBTRACT 80 - 0 = 80
|
| | | 0 | 0 | |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | 0 |
STEP 9: DIVIDE 800 : 304 = 2 with a remainder of 192
|
| | | 0 | 0 | 2 |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | 0 |
STEP 10: MULTIPLY 2 · 304 = 608
|
| | | 0 | 0 | 2 |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | 0 |
| | | 6 | 0 | 8 |
STEP 11: SUBTRACT 800 - 608 = 192
|
| | | 0 | 0 | 2 |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | 0 |
| | – | 6 | 0 | 8 |
| | | 1 | 9 | 2 |
STEP 11: SUBTRACT 800 - 608 = 192
|
| | | 0 | 0 | 2 |
3 | 0 | 4 | 8 | 0 | 0 |
| | – | 0 | | |
| | | 8 | 0 | |
| | | – | 0 | |
| | | 8 | 0 | 0 |
| | – | 6 | 0 | 8 |
| | | 1 | 9 | 2 |
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