361997 ÷ 81 
Let's see how many times 81 fits into 361997.

Step 1:
If we divide 3 by 81, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 81

Advancing to step 2:
The number 81 fits into 36 0 times, leaving a remainder of 36.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 36, we end up with 36.
Append the next digit (1) from the dividend to 36 and continue with: 361 / 81

Step 3:
When dividing 361 by 81, we get 4 with a remainder of 37.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 324 away from 361, we end up with 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 81

Let's proceed to step 4:
81 can be fit into 379 4 times, resulting in a remainder of 55.
Write down 4 as next digit of the result. 
Result so far: 44.0
Subtract 324 from 379 to get 55.
Take the next digit (9) from the dividend and append it to 55, then repeat: 559 / 81

Advancing to step 5:
If we divide 559 by 81, we get 6 and a remainder of 73.
Use 6 as the next digit of our solution. 
Result so far: 446.0
If we take 486 away from 559, we end up with 73.
Grab the next digit (7) from the dividend, add it to 73, then carry on: 737 / 81

Advancing to step 6:
737 divided by 81 is 9 with a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 4469.0
Deduct 729 from 737 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
81 goes into 80 0 times with a remainder of 80.
The next digit of our result is 0. 
Result so far: 4469.0
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 8:
If we divide 800 by 81, we get 9 and a remainder of 71.
Write down 9 as next digit of the result. 
Result so far: 4469.09
Subtracting 729 from 800 leaves us with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 9:
81 goes into 710 8 times with a remainder of 62.
The number 8 becomes the next digit in our result. 
Result so far: 4469.098
If we take 648 away from 710, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 10:
81 goes into 620 7 times with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 4469.0987
The remainder is 53 after subtracting 567 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 11:
81 goes into 530 6 times with a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 4469.09876
The remainder is 44 after subtracting 486 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
If we divide 440 by 81, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 4469.098765
Subtract 405 from 440 to get 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 13:
350 divided by 81 is 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 4469.0987654
Deduct 324 from 350 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
81 can be fit into 260 3 times, resulting in a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 4469.09876543
If we subtract 243 from 260, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 4469.09876543 with a balance of 1.7e-08.