We look at the division of 412966 by 91 
We want to divide 412966 by 91.

Moving on to step 1:
91 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 91

Let's proceed to step 2:
91 goes into 41 0 times with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 91

Step 3:
412 divided by 91 is 4 with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 364 from 412, we get 48.
Take the next digit (9) from the dividend and append it to 48, then repeat: 489 / 91

Moving on to step 4:
91 goes into 489 5 times with a remainder of 34.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtract 455 from 489 to get 34.
Take the next digit (6) from the dividend and append it to 34, then repeat: 346 / 91

Step 5:
346 divided by 91 is 3 with a remainder of 73.
The next digit of our result is 3. 
Result so far: 453.0
Subtracting 273 from 346 leaves us with 73.
Grab the next digit (6) from the dividend, add it to 73, then carry on: 736 / 91

On to step 6:
736 divided by 91 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 4538.0
If we subtract 728 from 736, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
The number 91 fits into 80 0 times, leaving a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 4538.0
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 8:
When dividing 800 by 91, we get 8 with a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 4538.08
The remainder is 72 after subtracting 728 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 9:
The number 91 fits into 720 7 times, leaving a remainder of 83.
Put 7 as the next digit of the answer. 
Result so far: 4538.087
If we subtract 637 from 720, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

On to step 10:
If we divide 830 by 91, we get 9 and a remainder of 11.
The next digit of our result is 9. 
Result so far: 4538.0879
If we subtract 819 from 830, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
91 goes into 110 1 times with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 4538.08791
Deduct 91 from 110 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
When dividing 190 by 91, we get 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 4538.087912
Deduct 182 from 190 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
80 divided by 91 is 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 4538.087912
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 14:
91 can be fit into 800 8 times, resulting in a remainder of 72.
Use 8 as the next digit of our solution. 
Result so far: 4538.08791208
If we take 728 away from 800, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The quotient of the division is 4538.08791208, and the remainder is 7.2e-08.