We're dividing 157082 by 61 
We're looking to find how many times 61 goes into 157082.

Moving on to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 61

Moving on to step 2:
61 can be fit into 15 0 times, resulting in a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 61

Advancing to step 3:
61 can be fit into 157 2 times, resulting in a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 122 from 157, we get 35.
Bring next digit (0) of the dividend behind the 35 and repeat the process: 350 / 61

Moving on to step 4:
61 goes into 350 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 25.0
Subtract 305 from 350 to get 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 61

Advancing to step 5:
The number 61 fits into 458 7 times, leaving a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 257.0
Subtracting 427 from 458 leaves us with 31.
Append the next digit (2) from the dividend to 31 and continue with: 312 / 61

On to step 6:
61 goes into 312 5 times with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 2575.0
Deduct 305 from 312 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
If we divide 70 by 61, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 2575.1
Deduct 61 from 70 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 8:
When dividing 90 by 61, we get 1 with a remainder of 29.
The next digit of our result is 1. 
Result so far: 2575.11
Deduct 61 from 90 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 2575.11 with a remaining 0.029.