Question
What is the quotient and remainder when $ 1850 $ is divided by $ 125 $ ?
Answer
The quotient is 14 and the remainder is 100.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | 0 | ||||
| – | 5 | 0 | 0 | |||
| 1 | 0 | 0 | ||||
|
STEP 0: set up a division table |
||||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
|
STEP 1: DIVIDE 1 : 125 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 125 = 0 |
||||||
| 0 | ||||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
|
STEP 5: DIVIDE 18 : 125 = 0 with a remainder of 18 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
|
STEP 6: MULTIPLY 0 · 125 = 0 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 18 - 0 = 18 |
||||||
| 0 | 0 | |||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
|
STEP 9: DIVIDE 185 : 125 = 1 with a remainder of 60 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
|
STEP 10: MULTIPLY 1 · 125 = 125 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| 1 | 2 | 5 | ||||
|
STEP 11: SUBTRACT 185 - 125 = 60 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | 0 | ||||
|
STEP 13: DIVIDE 600 : 125 = 4 with a remainder of 100 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | 0 | ||||
|
STEP 14: MULTIPLY 4 · 125 = 500 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | 0 | ||||
| 5 | 0 | 0 | ||||
|
STEP 15: SUBTRACT 600 - 500 = 100 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | 0 | ||||
| – | 5 | 0 | 0 | |||
| 1 | 0 | 0 | ||||
|
STEP 15: SUBTRACT 600 - 500 = 100 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 2 | 5 | 1 | 8 | 5 | 0 |
| – | 0 | |||||
| 1 | 8 | |||||
| – | 0 | |||||
| 1 | 8 | 5 | ||||
| – | 1 | 2 | 5 | |||
| 6 | 0 | 0 | ||||
| – | 5 | 0 | 0 | |||
| 1 | 0 | 0 | ||||
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