63974 ÷ 91 
We want to figure out the number of times 63974 can be divided by 91.

Step 1:
91 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 91

Moving on to step 2:
91 can be fit into 63 0 times, resulting in a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 63, we get 63.
Append the next digit (9) from the dividend to 63 and continue with: 639 / 91

On to step 3:
The number 91 fits into 639 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtracting 637 from 639 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 91

On to step 4:
91 goes into 27 0 times with a remainder of 27.
The next digit of our result is 0. 
Result so far: 70.0
If we take 0 away from 27, we end up with 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 91

Step 5:
When dividing 274 by 91, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 703.0
The remainder is 1 after subtracting 273 from 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 6:
The number 91 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 703.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
When dividing 100 by 91, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 703.01
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
90 divided by 91 is 0 with a remainder of 90.
The next digit of our result is 0. 
Result so far: 703.01
If we take 0 away from 90, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 9:
91 can be fit into 900 9 times, resulting in a remainder of 81.
Put 9 as the next digit of the answer. 
Result so far: 703.0109
Subtracting 819 from 900 leaves us with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 10:
If we divide 810 by 91, we get 8 and a remainder of 82.
Use 8 as the next digit of our solution. 
Result so far: 703.01098
If we take 728 away from 810, we end up with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Moving on to step 11:
91 can be fit into 820 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 703.010989
Subtracting 819 from 820 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
91 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 703.010989
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
The number 91 fits into 100 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 703.01098901
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 703.01098901 and a remainder of 9e-09.