We look at the division of 201581 by 39 
Our goal is to divide 201581 by 39.

Advancing to step 1:
If we divide 2 by 39, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 39

Step 2:
If we divide 20 by 39, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 20 after subtracting 0 from 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 39

Step 3:
The number 39 fits into 201 5 times, leaving a remainder of 6.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 6 after subtracting 195 from 201.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 39

Advancing to step 4:
The number 39 fits into 65 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 39 away from 65, we end up with 26.
Bring next digit (8) of the dividend behind the 26 and repeat the process: 268 / 39

Going ahead to step 5:
If we divide 268 by 39, we get 6 and a remainder of 34.
The next digit of our result is 6. 
Result so far: 516.0
Subtracting 234 from 268 leaves us with 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 39

Step 6:
When dividing 341 by 39, we get 8 with a remainder of 29.
Write down 8 as next digit of the result. 
Result so far: 5168.0
If we subtract 312 from 341, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
39 can be fit into 290 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 5168.7
If we take 273 away from 290, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
If we divide 170 by 39, we get 4 and a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 5168.74
If we subtract 156 from 170, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
39 can be fit into 140 3 times, resulting in a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 5168.743
Subtracting 117 from 140 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 10:
39 goes into 230 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 5168.7435
Deduct 195 from 230 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 11:
The number 39 fits into 350 8 times, leaving a remainder of 38.
Record the quotient 8 as the next digit in the result. 
Result so far: 5168.74358
Deduct 312 from 350 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 12:
39 can be fit into 380 9 times, resulting in a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 5168.743589
The remainder is 29 after subtracting 351 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 13:
290 divided by 39 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 5168.7435897
Deduct 273 from 290 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 14:
39 goes into 170 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 5168.74358974
Subtract 156 from 170 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 5168.74358974 with a remainder of 1.4e-08.