Question
What is the quotient and remainder when $ 154 $ is divided by $ 4 $ ?
Answer
The quotient is 38 and the remainder is 2.
Explanation
| Division Table | |||
| 0 | 3 | 8 | |
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | 4 | ||
| – | 3 | 2 | |
| 2 | |||
|
STEP 0: set up a division table |
|||
| 4 | 1 | 5 | 4 |
|
STEP 1: DIVIDE 1 : 4 = 0 with a remainder of 1 |
|||
| 0 | |||
| 4 | 1 | 5 | 4 |
|
STEP 2: MULTIPLY 0 · 4 = 0 |
|||
| 0 | |||
| 4 | 1 | 5 | 4 |
| 0 | |||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||
| 0 | |||
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
|
STEP 5: DIVIDE 15 : 4 = 3 with a remainder of 3 |
|||
| 0 | 3 | ||
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
|
STEP 6: MULTIPLY 3 · 4 = 12 |
|||
| 0 | 3 | ||
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| 1 | 2 | ||
|
STEP 7: SUBTRACT 15 - 12 = 3 |
|||
| 0 | 3 | ||
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | |||
| STEP 8: BRING DOWN | |||
| 0 | 3 | ||
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | 4 | ||
|
STEP 9: DIVIDE 34 : 4 = 8 with a remainder of 2 |
|||
| 0 | 3 | 8 | |
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | 4 | ||
|
STEP 10: MULTIPLY 8 · 4 = 32 |
|||
| 0 | 3 | 8 | |
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | 4 | ||
| 3 | 2 | ||
|
STEP 11: SUBTRACT 34 - 32 = 2 |
|||
| 0 | 3 | 8 | |
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | 4 | ||
| – | 3 | 2 | |
| 2 | |||
|
STEP 11: SUBTRACT 34 - 32 = 2 |
|||
| 0 | 3 | 8 | |
| 4 | 1 | 5 | 4 |
| – | 0 | ||
| 1 | 5 | ||
| – | 1 | 2 | |
| 3 | 4 | ||
| – | 3 | 2 | |
| 2 | |||
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