What is the quotient and remainder when $ 45 $ is divided by $ 12 $ ?
The quotient is 3 and the remainder is 9.
Division Table | |||
0 | 3 | ||
1 | 2 | 4 | 5 |
– | 0 | ||
4 | 5 | ||
– | 3 | 6 | |
9 |
STEP 0: set up a division table |
|||
1 | 2 | 4 | 5 |
STEP 1: DIVIDE 4 : 12 = 0 with a remainder of 4 |
|||
0 | |||
1 | 2 | 4 | 5 |
STEP 2: MULTIPLY 0 · 12 = 0 |
|||
0 | |||
1 | 2 | 4 | 5 |
0 |
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
0 | |||
1 | 2 | 4 | 5 |
– | 0 | ||
4 |
STEP 4: BRING DOWN | |||
0 | |||
1 | 2 | 4 | 5 |
– | 0 | ||
4 | 5 |
STEP 5: DIVIDE 45 : 12 = 3 with a remainder of 9 |
|||
0 | 3 | ||
1 | 2 | 4 | 5 |
– | 0 | ||
4 | 5 |
STEP 6: MULTIPLY 3 · 12 = 36 |
|||
0 | 3 | ||
1 | 2 | 4 | 5 |
– | 0 | ||
4 | 5 | ||
3 | 6 |
STEP 7: SUBTRACT 45 - 36 = 9 |
|||
0 | 3 | ||
1 | 2 | 4 | 5 |
– | 0 | ||
4 | 5 | ||
– | 3 | 6 | |
9 |
STEP 7: SUBTRACT 45 - 36 = 9 |
|||
0 | 3 | ||
1 | 2 | 4 | 5 |
– | 0 | ||
4 | 5 | ||
– | 3 | 6 | |
9 |