341971 ÷ 85 
We're looking to find how many times 85 goes into 341971.

On to step 1:
When dividing 3 by 85, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 85

Going ahead to step 2:
34 divided by 85 is 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 85

Let's proceed to step 3:
When dividing 341 by 85, we get 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 4.0
If we take 340 away from 341, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 85

Let's proceed to step 4:
The number 85 fits into 19 0 times, leaving a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 40.0
Subtracting 0 from 19 leaves us with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 85

Advancing to step 5:
The number 85 fits into 197 2 times, leaving a remainder of 27.
The next digit of our result is 2. 
Result so far: 402.0
Deduct 170 from 197 and we're left with 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 85

Let's proceed to step 6:
If we divide 271 by 85, we get 3 and a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 4023.0
Subtract 255 from 271 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 85, we get 1 and a remainder of 75.
Use 1 as the next digit of our solution. 
Result so far: 4023.1
If we subtract 85 from 160, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 8:
85 can be fit into 750 8 times, resulting in a remainder of 70.
The next digit of our result is 8. 
Result so far: 4023.18
The remainder is 70 after subtracting 680 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 9:
If we divide 700 by 85, we get 8 and a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 4023.188
If we take 680 away from 700, we end up 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.

In conclusion, the division gives 4023.188 with a balance of 0.002.