Question
What is the quotient and remainder when $ 940 $ is divided by $ 9 $ ?
Answer
The quotient is 104 and the remainder is 4.
Explanation
| Division Table | |||
| 1 | 0 | 4 | |
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | 0 | ||
| – | 3 | 6 | |
| 4 | |||
|
STEP 0: set up a division table |
|||
| 9 | 9 | 4 | 0 |
|
STEP 1: DIVIDE 9 : 9 = 1 with a remainder of 0 |
|||
| 1 | |||
| 9 | 9 | 4 | 0 |
|
STEP 2: MULTIPLY 1 · 9 = 9 |
|||
| 1 | |||
| 9 | 9 | 4 | 0 |
| 9 | |||
|
STEP 3: SUBTRACT 9 - 9 = 0 |
|||
| 1 | |||
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 0 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
|
STEP 5: DIVIDE 4 : 9 = 0 with a remainder of 4 |
|||
| 1 | 0 | ||
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
|
STEP 6: MULTIPLY 0 · 9 = 0 |
|||
| 1 | 0 | ||
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| 0 | |||
|
STEP 7: SUBTRACT 4 - 0 = 4 |
|||
| 1 | 0 | ||
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | |||
| STEP 8: BRING DOWN | |||
| 1 | 0 | ||
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | 0 | ||
|
STEP 9: DIVIDE 40 : 9 = 4 with a remainder of 4 |
|||
| 1 | 0 | 4 | |
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | 0 | ||
|
STEP 10: MULTIPLY 4 · 9 = 36 |
|||
| 1 | 0 | 4 | |
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | 0 | ||
| 3 | 6 | ||
|
STEP 11: SUBTRACT 40 - 36 = 4 |
|||
| 1 | 0 | 4 | |
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | 0 | ||
| – | 3 | 6 | |
| 4 | |||
|
STEP 11: SUBTRACT 40 - 36 = 4 |
|||
| 1 | 0 | 4 | |
| 9 | 9 | 4 | 0 |
| – | 9 | ||
| 4 | |||
| – | 0 | ||
| 4 | 0 | ||
| – | 3 | 6 | |
| 4 | |||
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