257059 ÷ 85 
We're looking to find how many times 85 goes into 257059.

Advancing to step 1:
When dividing 2 by 85, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 85

Advancing to step 2:
When dividing 25 by 85, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 85

Going ahead to step 3:
The number 85 fits into 257 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtracting 255 from 257 leaves us with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 85

Let's proceed to step 4:
When dividing 20 by 85, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 30.0
The remainder is 20 after subtracting 0 from 20.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 85

Advancing to step 5:
205 divided by 85 is 2 with a remainder of 35.
The number 2 becomes the next digit in our result. 
Result so far: 302.0
The remainder is 35 after subtracting 170 from 205.
Append the next digit (9) from the dividend to 35 and continue with: 359 / 85

Let's proceed to step 6:
85 goes into 359 4 times with a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 3024.0
Deduct 340 from 359 and we're left 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.

Advancing to step 7:
If we divide 190 by 85, we get 2 and a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 3024.2
Subtracting 170 from 190 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 85 is 2 with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 3024.22
Subtract 170 from 200 to 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.

The quotient of the division is 3024.22, and the remainder is 0.03.