We're dividing 1146 by 74 
We want to figure out the number of times 1146 can be divided by 74.

Moving on to step 1:
74 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 74

Step 2:
When dividing 11 by 74, we get 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 74

On to step 3:
If we divide 114 by 74, we get 1 and a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 74 from 114 to get 40.
Bring next digit (6) of the dividend behind the 40 and repeat the process: 406 / 74

Step 4:
406 divided by 74 is 5 with a remainder of 36.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 370 away from 406, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 5:
If we divide 360 by 74, we get 4 and a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 15.4
If we subtract 296 from 360, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 6:
The number 74 fits into 640 8 times, leaving a remainder of 48.
The next digit of our result is 8. 
Result so far: 15.48
Deduct 592 from 640 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 7:
The number 74 fits into 480 6 times, leaving a remainder of 36.
Use 6 as the next digit of our solution. 
Result so far: 15.486
If we take 444 away from 480, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
360 divided by 74 is 4 with a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 15.4864
Subtracting 296 from 360 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
When dividing 640 by 74, we get 8 with a remainder of 48.
The next digit of our result is 8. 
Result so far: 15.48648
If we take 592 away from 640, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
The number 74 fits into 480 6 times, leaving a remainder of 36.
The next digit of our result is 6. 
Result so far: 15.486486
The remainder is 36 after subtracting 444 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
360 divided by 74 is 4 with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 15.4864864
If we take 296 away from 360, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
If we divide 640 by 74, we get 8 and a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 15.48648648
The remainder is 48 after subtracting 592 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 15.48648648, and the remainder is 4.8e-08.