We look at the division of 97133 by 59 
We're looking to find how many times 59 goes into 97133.

Going ahead to step 1:
59 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 59

Going ahead to step 2:
When dividing 97 by 59, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 59 from 97 to get 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 59

Going ahead to step 3:
381 divided by 59 is 6 with a remainder of 27.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 354 from 381 to get 27.
Include the next digit (3) from the dividend after 27, then repeat: 273 / 59

On to step 4:
The number 59 fits into 273 4 times, leaving a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 164.0
Subtracting 236 from 273 leaves us with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 59

Step 5:
59 goes into 373 6 times with a remainder of 19.
Put 6 as the next digit of the answer. 
Result so far: 1646.0
Subtracting 354 from 373 leaves us 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 6:
59 can be fit into 190 3 times, resulting in a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 1646.3
If we take 177 away from 190, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
59 goes into 130 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 1646.32
Deduct 118 from 130 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 59, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 1646.322
If we subtract 118 from 120, 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.

Our division results in 1646.322 with a remaining 0.0002.