91874432 ÷ 635 
Our goal is to divide 91874432 by 635.

Moving on to step 1:
If we divide 9 by 635, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 635

Going ahead to step 2:
The number 635 fits into 91 0 times, leaving a remainder of 91.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 91, we end up with 91.
Take the next digit (8) from the dividend and append it to 91, then repeat: 918 / 635

Step 3:
When dividing 918 by 635, we get 1 with a remainder of 283.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 635 from 918 and we're left with 283.
Fetch the next digit (7) from the dividend, attach it to 283 and continue: 2837 / 635

Going ahead to step 4:
635 can be fit into 2837 4 times, resulting in a remainder of 297.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Subtract 2540 from 2837 to get 297.
Take the next digit (4) from the dividend and append it to 297, then repeat: 2974 / 635

Advancing to step 5:
2974 divided by 635 is 4 with a remainder of 434.
Write down 4 as next digit of the result. 
Result so far: 144.0
Deduct 2540 from 2974 and we're left with 434.
Bring next digit (4) of the dividend behind the 434 and repeat the process: 4344 / 635

Moving on to step 6:
If we divide 4344 by 635, we get 6 and a remainder of 534.
Record the quotient 6 as the next digit in the result. 
Result so far: 1446.0
If we take 3810 away from 4344, we end up with 534.
Include the next digit (3) from the dividend after 534, then repeat: 5343 / 635

Step 7:
The number 635 fits into 5343 8 times, leaving a remainder of 263.
The number 8 becomes the next digit in our result. 
Result so far: 14468.0
Deduct 5080 from 5343 and we're left with 263.
Append the next digit (2) from the dividend to 263 and continue with: 2632 / 635

Step 8:
635 can be fit into 2632 4 times, resulting in a remainder of 92.
Record the quotient 4 as the next digit in the result. 
Result so far: 144684.0
Deduct 2540 from 2632 and we're left with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Let's proceed to step 9:
The number 635 fits into 920 1 times, leaving a remainder of 285.
The next digit of our result is 1. 
Result so far: 144684.1
The remainder is 285 after subtracting 635 from 920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Going ahead to step 10:
2850 divided by 635 is 4 with a remainder of 310.
Write down 4 as next digit of the result. 
Result so far: 144684.14
Deduct 2540 from 2850 and we're left with 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3100, and continue the process.

Going ahead to step 11:
When dividing 3100 by 635, we get 4 with a remainder of 560.
Write down 4 as next digit of the result. 
Result so far: 144684.144
The remainder is 560 after subtracting 2540 from 3100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

In conclusion, the division gives 144684.144 with a balance of 0.056.