341975 ÷ 81 
We're looking to find how many times 81 goes into 341975.

Going ahead to step 1:
The number 81 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 81

Moving on to step 2:
If we divide 34 by 81, we get 0 and a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 81

Moving on to step 3:
When dividing 341 by 81, we get 4 with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 17 after subtracting 324 from 341.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 81

On to step 4:
When dividing 179 by 81, we get 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
If we subtract 162 from 179, we get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 81

Moving on to step 5:
If we divide 177 by 81, we get 2 and a remainder of 15.
The number 2 becomes the next digit in our result. 
Result so far: 422.0
If we take 162 away from 177, we end up with 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 81

Let's proceed to step 6:
155 divided by 81 is 1 with a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 4221.0
Subtracting 81 from 155 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 7:
The number 81 fits into 740 9 times, leaving a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 4221.9
If we take 729 away from 740, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
If we divide 110 by 81, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 4221.91
Subtracting 81 from 110 leaves us 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.

Step 9:
81 goes into 290 3 times with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 4221.913
Deduct 243 from 290 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 10:
81 goes into 470 5 times with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 4221.9135
If we take 405 away from 470, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 11:
When dividing 650 by 81, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 4221.91358
Deduct 648 from 650 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 12:
81 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 4221.91358
Deduct 0 from 20 and we're left 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 13:
If we divide 200 by 81, we get 2 and a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 4221.9135802
The remainder is 38 after subtracting 162 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 14:
81 can be fit into 380 4 times, resulting in a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 4221.91358024
Deduct 324 from 380 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 4221.91358024 with a balance of 5.6e-08.