We look at the division of 513626 by 97 
Let's see how many times 97 fits into 513626.

Advancing to step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 97

Step 2:
The number 97 fits into 51 0 times, leaving a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Append the next digit (3) from the dividend to 51 and continue with: 513 / 97

Step 3:
97 can be fit into 513 5 times, resulting in a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 485 from 513 to get 28.
Grab the next digit (6) from the dividend, add it to 28, then carry on: 286 / 97

Moving on to step 4:
If we divide 286 by 97, we get 2 and a remainder of 92.
Write down 2 as next digit of the result. 
Result so far: 52.0
The remainder is 92 after subtracting 194 from 286.
Fetch the next digit (2) from the dividend, attach it to 92 and continue: 922 / 97

Going ahead to step 5:
When dividing 922 by 97, we get 9 with a remainder of 49.
Put 9 as the next digit of the answer. 
Result so far: 529.0
If we take 873 away from 922, we end up with 49.
Bring next digit (6) of the dividend behind the 49 and repeat the process: 496 / 97

Advancing to step 6:
97 goes into 496 5 times with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 5295.0
The remainder is 11 after subtracting 485 from 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
97 goes into 110 1 times with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 5295.1
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
If we divide 130 by 97, we get 1 and a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 5295.11
The remainder is 33 after subtracting 97 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 5295.11, and the remainder is 0.033.