We look at the division of 97566537 by 643 
Our goal is to divide 97566537 by 643.

Advancing to step 1:
643 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 643

Moving on to step 2:
643 goes into 97 0 times with a remainder of 97.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 97 after subtracting 0 from 97.
Take the next digit (5) from the dividend and append it to 97, then repeat: 975 / 643

Let's proceed to step 3:
When dividing 975 by 643, we get 1 with a remainder of 332.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 643 from 975, we get 332.
Grab the next digit (6) from the dividend, add it to 332, then carry on: 3326 / 643

Moving on to step 4:
If we divide 3326 by 643, we get 5 and a remainder of 111.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 111 after subtracting 3215 from 3326.
Fetch the next digit (6) from the dividend, attach it to 111 and continue: 1116 / 643

Let's proceed to step 5:
The number 643 fits into 1116 1 times, leaving a remainder of 473.
Put 1 as the next digit of the answer. 
Result so far: 151.0
If we subtract 643 from 1116, we get 473.
Fetch the next digit (5) from the dividend, attach it to 473 and continue: 4735 / 643

Advancing to step 6:
643 can be fit into 4735 7 times, resulting in a remainder of 234.
The number 7 becomes the next digit in our result. 
Result so far: 1517.0
If we take 4501 away from 4735, we end up with 234.
Include the next digit (3) from the dividend after 234, then repeat: 2343 / 643

Advancing to step 7:
If we divide 2343 by 643, we get 3 and a remainder of 414.
The number 3 becomes the next digit in our result. 
Result so far: 15173.0
Subtract 1929 from 2343 to get 414.
Grab the next digit (7) from the dividend, add it to 414, then carry on: 4147 / 643

Step 8:
643 goes into 4147 6 times with a remainder of 289.
The number 6 becomes the next digit in our result. 
Result so far: 151736.0
Deduct 3858 from 4147 and we're left with 289.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2890, and continue the process.

On to step 9:
When dividing 2890 by 643, we get 4 with a remainder of 318.
Put 4 as the next digit of the answer. 
Result so far: 151736.4
The remainder is 318 after subtracting 2572 from 2890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

Moving on to step 10:
643 goes into 3180 4 times with a remainder of 608.
The next digit of our result is 4. 
Result so far: 151736.44
If we subtract 2572 from 3180, we get 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

The quotient of the division is 151736.44, and the remainder is 0.608.