634296 divided by 31 
Our goal is to divide 634296 by 31.

Step 1:
When dividing 6 by 31, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 31

Advancing to step 2:
31 goes into 63 2 times with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 62 from 63 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 31

Advancing to step 3:
The number 31 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 31

Going ahead to step 4:
31 can be fit into 142 4 times, resulting in a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 204.0
If we subtract 124 from 142, we get 18.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 31

Going ahead to step 5:
The number 31 fits into 189 6 times, leaving a remainder of 3.
The next digit of our result is 6. 
Result so far: 2046.0
Subtracting 186 from 189 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 31

Let's proceed to step 6:
When dividing 36 by 31, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 20461.0
Subtract 31 from 36 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
31 goes into 50 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 20461.1
Subtract 31 from 50 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 8:
If we divide 190 by 31, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 20461.16
Subtracting 186 from 190 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
31 goes into 40 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 20461.161
If we subtract 31 from 40, 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.

Advancing to step 10:
31 goes into 90 2 times with a remainder of 28.
The next digit of our result is 2. 
Result so far: 20461.1612
Deduct 62 from 90 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
When dividing 280 by 31, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 20461.16129
Deduct 279 from 280 and we're left 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.

On to step 12:
31 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 20461.16129
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.

Advancing to step 13:
31 goes into 100 3 times with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 20461.1612903
Deduct 93 from 100 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 14:
If we divide 70 by 31, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 20461.16129032
The remainder is 8 after subtracting 62 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 20461.16129032 with a balance of 8e-09.