Question
What is the quotient and remainder when $ 3600 $ is divided by $ 100 $ ?
Answer
The quotient is 36 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 3 | 6 | |||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | 0 | ||||
| – | 6 | 0 | 0 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
|
STEP 1: DIVIDE 3 : 100 = 0 with a remainder of 3 |
||||||
| 0 | ||||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 100 = 0 |
||||||
| 0 | ||||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||||||
| 0 | ||||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
|
STEP 5: DIVIDE 36 : 100 = 0 with a remainder of 36 |
||||||
| 0 | 0 | |||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
|
STEP 6: MULTIPLY 0 · 100 = 0 |
||||||
| 0 | 0 | |||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 36 - 0 = 36 |
||||||
| 0 | 0 | |||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
|
STEP 9: DIVIDE 360 : 100 = 3 with a remainder of 60 |
||||||
| 0 | 0 | 3 | ||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
|
STEP 10: MULTIPLY 3 · 100 = 300 |
||||||
| 0 | 0 | 3 | ||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| 3 | 0 | 0 | ||||
|
STEP 11: SUBTRACT 360 - 300 = 60 |
||||||
| 0 | 0 | 3 | ||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 3 | ||||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | 0 | ||||
|
STEP 13: DIVIDE 600 : 100 = 6 with a remainder of 0 |
||||||
| 0 | 0 | 3 | 6 | |||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | 0 | ||||
|
STEP 14: MULTIPLY 6 · 100 = 600 |
||||||
| 0 | 0 | 3 | 6 | |||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | 0 | ||||
| 6 | 0 | 0 | ||||
|
STEP 15: SUBTRACT 600 - 600 = 0 |
||||||
| 0 | 0 | 3 | 6 | |||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | 0 | ||||
| – | 6 | 0 | 0 | |||
| 0 | ||||||
|
STEP 15: SUBTRACT 600 - 600 = 0 |
||||||
| 0 | 0 | 3 | 6 | |||
| 1 | 0 | 0 | 3 | 6 | 0 | 0 |
| – | 0 | |||||
| 3 | 6 | |||||
| – | 0 | |||||
| 3 | 6 | 0 | ||||
| – | 3 | 0 | 0 | |||
| 6 | 0 | 0 | ||||
| – | 6 | 0 | 0 | |||
| 0 | ||||||
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