We're dividing 31642 by 59 
We want to figure out the number of times 31642 can be divided by 59.

Step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 59

Let's proceed to step 2:
If we divide 31 by 59, we get 0 and a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 59

Moving on to step 3:
59 can be fit into 316 5 times, resulting in a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 295 from 316, we get 21.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 59

Moving on to step 4:
214 divided by 59 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 53.0
If we subtract 177 from 214, we get 37.
Take the next digit (2) from the dividend and append it to 37, then repeat: 372 / 59

Going ahead to step 5:
59 goes into 372 6 times with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 536.0
Deduct 354 from 372 and we're left with 18.
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 6:
59 goes into 180 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 536.3
The remainder is 3 after subtracting 177 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 59 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 536.3
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
If we divide 300 by 59, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 536.305
If we take 295 away from 300, we end up 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.

Let's proceed to step 9:
The number 59 fits into 50 0 times, leaving a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 536.305
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
When dividing 500 by 59, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 536.30508
The remainder is 28 after subtracting 472 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
When dividing 280 by 59, we get 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 536.305084
If we take 236 away from 280, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 12:
59 can be fit into 440 7 times, resulting in a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 536.3050847
Subtracting 413 from 440 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
59 goes into 270 4 times with a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 536.30508474
If we take 236 away from 270, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 536.30508474 with a balance of 3.4e-08.