Question
What is the quotient and remainder when $ 75 $ is divided by $ 45 $ ?
Answer
The quotient is 1 and the remainder is 30.
Explanation
| Division Table | |||
| 0 | 1 | ||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| – | 4 | 5 | |
| 3 | 0 | ||
|
STEP 0: set up a division table |
|||
| 4 | 5 | 7 | 5 |
|
STEP 1: DIVIDE 7 : 45 = 0 with a remainder of 7 |
|||
| 0 | |||
| 4 | 5 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 45 = 0 |
|||
| 0 | |||
| 4 | 5 | 7 | 5 |
| 0 | |||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
|||
| 0 | |||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
|
STEP 5: DIVIDE 75 : 45 = 1 with a remainder of 30 |
|||
| 0 | 1 | ||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
|
STEP 6: MULTIPLY 1 · 45 = 45 |
|||
| 0 | 1 | ||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| 4 | 5 | ||
|
STEP 7: SUBTRACT 75 - 45 = 30 |
|||
| 0 | 1 | ||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| – | 4 | 5 | |
| 3 | 0 | ||
|
STEP 7: SUBTRACT 75 - 45 = 30 |
|||
| 0 | 1 | ||
| 4 | 5 | 7 | 5 |
| – | 0 | ||
| 7 | 5 | ||
| – | 4 | 5 | |
| 3 | 0 | ||
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