back to index
What is the quotient and remainder when $ 413 $ is divided by $ 12 $ ?
Answer
The quotient is 34 and the remainder is 5.
Explanation
Division Table
|
| | 0 | 3 | 4 |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | 3 |
| | – | 4 | 8 |
| | | | 5 |
STEP 0: set up a division table
|
| | | | |
1 | 2 | 4 | 1 | 3 |
STEP 1: DIVIDE 4 : 12 = 0 with a remainder of 4
|
| | 0 | | |
1 | 2 | 4 | 1 | 3 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | 0 | | |
1 | 2 | 4 | 1 | 3 |
| | 0 | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
STEP 5: DIVIDE 41 : 12 = 3 with a remainder of 5
|
| | 0 | 3 | |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
STEP 6: MULTIPLY 3 · 12 = 36
|
| | 0 | 3 | |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| | 3 | 6 | |
STEP 7: SUBTRACT 41 - 36 = 5
|
| | 0 | 3 | |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | |
STEP 8: BRING DOWN
|
| | 0 | 3 | |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | 3 |
STEP 9: DIVIDE 53 : 12 = 4 with a remainder of 5
|
| | 0 | 3 | 4 |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | 3 |
STEP 10: MULTIPLY 4 · 12 = 48
|
| | 0 | 3 | 4 |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | 3 |
| | | 4 | 8 |
STEP 11: SUBTRACT 53 - 48 = 5
|
| | 0 | 3 | 4 |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | 3 |
| | – | 4 | 8 |
| | | | 5 |
STEP 11: SUBTRACT 53 - 48 = 5
|
| | 0 | 3 | 4 |
1 | 2 | 4 | 1 | 3 |
| – | 0 | | |
| | 4 | 1 | |
| – | 3 | 6 | |
| | | 5 | 3 |
| | – | 4 | 8 |
| | | | 5 |
This page was created using
Long division calculator