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Question
What is the quotient and remainder when $ 5000 $ is divided by $ 2345 $ ?
Answer
The quotient is 2 and the remainder is 310.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 2 |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | 0 |
| | | – | 4 | 6 | 9 | 0 |
| | | | | 3 | 1 | 0 |
STEP 0: set up a division table
|
| | | | | | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
STEP 1: DIVIDE 5 : 2345 = 0 with a remainder of 5
|
| | | | 0 | | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 2345 = 0
|
| | | | 0 | | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | | 0 | | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
STEP 5: DIVIDE 50 : 2345 = 0 with a remainder of 50
|
| | | | 0 | 0 | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
STEP 6: MULTIPLY 0 · 2345 = 0
|
| | | | 0 | 0 | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 50 - 0 = 50
|
| | | | 0 | 0 | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
STEP 9: DIVIDE 500 : 2345 = 0 with a remainder of 500
|
| | | | 0 | 0 | 0 | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
STEP 10: MULTIPLY 0 · 2345 = 0
|
| | | | 0 | 0 | 0 | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 500 - 0 = 500
|
| | | | 0 | 0 | 0 | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | 0 |
STEP 13: DIVIDE 5000 : 2345 = 2 with a remainder of 310
|
| | | | 0 | 0 | 0 | 2 |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | 0 |
STEP 14: MULTIPLY 2 · 2345 = 4690
|
| | | | 0 | 0 | 0 | 2 |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | 0 |
| | | | 4 | 6 | 9 | 0 |
STEP 15: SUBTRACT 5000 - 4690 = 310
|
| | | | 0 | 0 | 0 | 2 |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | 0 |
| | | – | 4 | 6 | 9 | 0 |
| | | | | 3 | 1 | 0 |
STEP 15: SUBTRACT 5000 - 4690 = 310
|
| | | | 0 | 0 | 0 | 2 |
2 | 3 | 4 | 5 | 5 | 0 | 0 | 0 |
| | | – | 0 | | | |
| | | | 5 | 0 | | |
| | | | – | 0 | | |
| | | | 5 | 0 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 0 | 0 | 0 |
| | | – | 4 | 6 | 9 | 0 |
| | | | | 3 | 1 | 0 |
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