We look at the division of 634553 by 5 
We're looking to find how many times 5 goes into 634553.

On to step 1:
5 can be fit into 6 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 5 from 6 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 5

Step 2:
5 goes into 13 2 times with a remainder of 3.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 10 from 13 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 5

On to step 3:
5 goes into 34 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 126.0
If we subtract 30 from 34, we get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 5

Step 4:
45 divided by 5 is 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 1269.0
If we subtract 45 from 45, we get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 5

Advancing to step 5:
When dividing 5 by 5, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 12691.0
Deduct 5 from 5 and we're left with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 5

Let's proceed to step 6:
5 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 126910.0
Subtract 0 from 3 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
5 goes into 30 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 126910.6
Subtract 30 from 30 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
If we divide 0 by 5, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 126910.6
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
If we divide 0 by 5, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 126910.6
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 126910.6, with a leftover of 0.0.