Question
What is the quotient and remainder when $ 1850 $ is divided by $ 40 $ ?
Answer
The quotient is 46 and the remainder is 10.
Explanation
| Division Table | |||||
| 0 | 0 | 4 | 6 | ||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | 0 | |||
| – | 2 | 4 | 0 | ||
| 1 | 0 | ||||
|
STEP 0: set up a division table |
|||||
| 4 | 0 | 1 | 8 | 5 | 0 |
|
STEP 1: DIVIDE 1 : 40 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 4 | 0 | 1 | 8 | 5 | 0 |
|
STEP 2: MULTIPLY 0 · 40 = 0 |
|||||
| 0 | |||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
|
STEP 5: DIVIDE 18 : 40 = 0 with a remainder of 18 |
|||||
| 0 | 0 | ||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
|
STEP 6: MULTIPLY 0 · 40 = 0 |
|||||
| 0 | 0 | ||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 18 - 0 = 18 |
|||||
| 0 | 0 | ||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
|
STEP 9: DIVIDE 185 : 40 = 4 with a remainder of 25 |
|||||
| 0 | 0 | 4 | |||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
|
STEP 10: MULTIPLY 4 · 40 = 160 |
|||||
| 0 | 0 | 4 | |||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| 1 | 6 | 0 | |||
|
STEP 11: SUBTRACT 185 - 160 = 25 |
|||||
| 0 | 0 | 4 | |||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 4 | |||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | 0 | |||
|
STEP 13: DIVIDE 250 : 40 = 6 with a remainder of 10 |
|||||
| 0 | 0 | 4 | 6 | ||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | 0 | |||
|
STEP 14: MULTIPLY 6 · 40 = 240 |
|||||
| 0 | 0 | 4 | 6 | ||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | 0 | |||
| 2 | 4 | 0 | |||
|
STEP 15: SUBTRACT 250 - 240 = 10 |
|||||
| 0 | 0 | 4 | 6 | ||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | 0 | |||
| – | 2 | 4 | 0 | ||
| 1 | 0 | ||||
|
STEP 15: SUBTRACT 250 - 240 = 10 |
|||||
| 0 | 0 | 4 | 6 | ||
| 4 | 0 | 1 | 8 | 5 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 5 | |||
| – | 1 | 6 | 0 | ||
| 2 | 5 | 0 | |||
| – | 2 | 4 | 0 | ||
| 1 | 0 | ||||
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