634557 ÷ 31 
Our goal is to divide 634557 by 31.

Moving on to step 1:
31 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 31

Going ahead to step 2:
The number 31 fits into 63 2 times, leaving a remainder of 1.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 62 from 63, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 31

Let's proceed to step 3:
31 goes into 14 0 times with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtracting 0 from 14 leaves us with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 31

Advancing to step 4:
31 can be fit into 145 4 times, resulting in a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 204.0
The remainder is 21 after subtracting 124 from 145.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 31

Let's proceed to step 5:
31 goes into 215 6 times with a remainder of 29.
Write down 6 as next digit of the result. 
Result so far: 2046.0
Subtracting 186 from 215 leaves us with 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 31

Going ahead to step 6:
If we divide 297 by 31, we get 9 and a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 20469.0
The remainder is 18 after subtracting 279 from 297.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
180 divided by 31 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 20469.5
Subtracting 155 from 180 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
31 goes into 250 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 20469.58
If we subtract 248 from 250, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
31 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 20469.58
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
31 can be fit into 200 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 20469.5806
The remainder is 14 after subtracting 186 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
If we divide 140 by 31, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 20469.58064
Deduct 124 from 140 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
160 divided by 31 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 20469.580645
Subtracting 155 from 160 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
If we divide 50 by 31, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 20469.5806451
If we take 31 away from 50, we end up 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.

On to step 14:
190 divided by 31 is 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 20469.58064516
Deduct 186 from 190 and we're left 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.

The quotient of the division is 20469.58064516, and the remainder is 4e-09.