Question
What is the quotient and remainder when $ 45 $ is divided by $ 4 $ ?
Answer
The quotient is 11 and the remainder is 1.
Explanation
| Division Table | ||
| 1 | 1 | |
| 4 | 4 | 5 |
| – | 4 | |
| 5 | ||
| – | 4 | |
| 1 | ||
|
STEP 0: set up a division table |
||
| 4 | 4 | 5 |
|
STEP 1: DIVIDE 4 : 4 = 1 with a remainder of 0 |
||
| 1 | ||
| 4 | 4 | 5 |
|
STEP 2: MULTIPLY 1 · 4 = 4 |
||
| 1 | ||
| 4 | 4 | 5 |
| 4 | ||
|
STEP 3: SUBTRACT 4 - 4 = 0 |
||
| 1 | ||
| 4 | 4 | 5 |
| – | 4 | |
| 0 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 4 | 4 | 5 |
| – | 4 | |
| 5 | ||
|
STEP 5: DIVIDE 5 : 4 = 1 with a remainder of 1 |
||
| 1 | 1 | |
| 4 | 4 | 5 |
| – | 4 | |
| 5 | ||
|
STEP 6: MULTIPLY 1 · 4 = 4 |
||
| 1 | 1 | |
| 4 | 4 | 5 |
| – | 4 | |
| 5 | ||
| 4 | ||
|
STEP 7: SUBTRACT 5 - 4 = 1 |
||
| 1 | 1 | |
| 4 | 4 | 5 |
| – | 4 | |
| 5 | ||
| – | 4 | |
| 1 | ||
|
STEP 7: SUBTRACT 5 - 4 = 1 |
||
| 1 | 1 | |
| 4 | 4 | 5 |
| – | 4 | |
| 5 | ||
| – | 4 | |
| 1 | ||
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