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Question
What is the quotient and remainder when $ 19500 $ is divided by $ 2250 $ ?
Answer
The quotient is 8 and the remainder is 1500.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 | 0 | 8 |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | 0 |
| | | | – | 1 | 8 | 0 | 0 | 0 |
| | | | | | 1 | 5 | 0 | 0 |
STEP 0: set up a division table
|
| | | | | | | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
STEP 1: DIVIDE 1 : 2250 = 0 with a remainder of 1
|
| | | | | 0 | | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
STEP 2: MULTIPLY 0 · 2250 = 0
|
| | | | | 0 | | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | | 0 | | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
STEP 5: DIVIDE 19 : 2250 = 0 with a remainder of 19
|
| | | | | 0 | 0 | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
STEP 6: MULTIPLY 0 · 2250 = 0
|
| | | | | 0 | 0 | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | | 0 | | | |
STEP 7: SUBTRACT 19 - 0 = 19
|
| | | | | 0 | 0 | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | | | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
STEP 9: DIVIDE 195 : 2250 = 0 with a remainder of 195
|
| | | | | 0 | 0 | 0 | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
STEP 10: MULTIPLY 0 · 2250 = 0
|
| | | | | 0 | 0 | 0 | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | | 0 | | |
STEP 11: SUBTRACT 195 - 0 = 195
|
| | | | | 0 | 0 | 0 | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | | |
|
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
STEP 13: DIVIDE 1950 : 2250 = 0 with a remainder of 1950
|
| | | | | 0 | 0 | 0 | 0 | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
STEP 14: MULTIPLY 0 · 2250 = 0
|
| | | | | 0 | 0 | 0 | 0 | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | | 0 | |
STEP 15: SUBTRACT 1950 - 0 = 1950
|
| | | | | 0 | 0 | 0 | 0 | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | |
|
STEP 16: BRING DOWN
|
| | | | | 0 | 0 | 0 | 0 | |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | 0 |
STEP 17: DIVIDE 19500 : 2250 = 8 with a remainder of 1500
|
| | | | | 0 | 0 | 0 | 0 | 8 |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | 0 |
STEP 18: MULTIPLY 8 · 2250 = 18000
|
| | | | | 0 | 0 | 0 | 0 | 8 |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | 0 |
| | | | | 1 | 8 | 0 | 0 | 0 |
STEP 19: SUBTRACT 19500 - 18000 = 1500
|
| | | | | 0 | 0 | 0 | 0 | 8 |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | 0 |
| | | | – | 1 | 8 | 0 | 0 | 0 |
| | | | | | 1 | 5 | 0 | 0 |
STEP 19: SUBTRACT 19500 - 18000 = 1500
|
| | | | | 0 | 0 | 0 | 0 | 8 |
| 2 | 2 | 5 | 0 | 1 | 9 | 5 | 0 | 0 |
| | | | – | 0 | | | | |
| | | | | 1 | 9 | | | |
| | | | | – | 0 | | | |
| | | | | 1 | 9 | 5 | | |
| | | | | | – | 0 | | |
| | | | | 1 | 9 | 5 | 0 | |
| | | | | | | – | 0 | |
| | | | | 1 | 9 | 5 | 0 | 0 |
| | | | – | 1 | 8 | 0 | 0 | 0 |
| | | | | | 1 | 5 | 0 | 0 |
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