Question
What is the quotient and remainder when $ 95 $ is divided by $ 4 $ ?
Answer
The quotient is 23 and the remainder is 3.
Explanation
| Division Table | ||
| 2 | 3 | |
| 4 | 9 | 5 |
| – | 8 | |
| 1 | 5 | |
| – | 1 | 2 |
| 3 | ||
|
STEP 0: set up a division table |
||
| 4 | 9 | 5 |
|
STEP 1: DIVIDE 9 : 4 = 2 with a remainder of 1 |
||
| 2 | ||
| 4 | 9 | 5 |
|
STEP 2: MULTIPLY 2 · 4 = 8 |
||
| 2 | ||
| 4 | 9 | 5 |
| 8 | ||
|
STEP 3: SUBTRACT 9 - 8 = 1 |
||
| 2 | ||
| 4 | 9 | 5 |
| – | 8 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 2 | ||
| 4 | 9 | 5 |
| – | 8 | |
| 1 | 5 | |
|
STEP 5: DIVIDE 15 : 4 = 3 with a remainder of 3 |
||
| 2 | 3 | |
| 4 | 9 | 5 |
| – | 8 | |
| 1 | 5 | |
|
STEP 6: MULTIPLY 3 · 4 = 12 |
||
| 2 | 3 | |
| 4 | 9 | 5 |
| – | 8 | |
| 1 | 5 | |
| 1 | 2 | |
|
STEP 7: SUBTRACT 15 - 12 = 3 |
||
| 2 | 3 | |
| 4 | 9 | 5 |
| – | 8 | |
| 1 | 5 | |
| – | 1 | 2 |
| 3 | ||
|
STEP 7: SUBTRACT 15 - 12 = 3 |
||
| 2 | 3 | |
| 4 | 9 | 5 |
| – | 8 | |
| 1 | 5 | |
| – | 1 | 2 |
| 3 | ||
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