610649 ÷ 81 
We want to divide 610649 by 81.

On to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 81

Going ahead to step 2:
81 goes into 61 0 times with a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 61, we get 61.
Bring next digit (0) of the dividend behind the 61 and repeat the process: 610 / 81

On to step 3:
If we divide 610 by 81, we get 7 and a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 567 from 610 leaves us with 43.
Take the next digit (6) from the dividend and append it to 43, then repeat: 436 / 81

Step 4:
81 goes into 436 5 times with a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 75.0
Subtract 405 from 436 to get 31.
Bring next digit (4) of the dividend behind the 31 and repeat the process: 314 / 81

Step 5:
81 can be fit into 314 3 times, resulting in a remainder of 71.
The number 3 becomes the next digit in our result. 
Result so far: 753.0
Deduct 243 from 314 and we're left with 71.
Append the next digit (9) from the dividend to 71 and continue with: 719 / 81

Let's proceed to step 6:
719 divided by 81 is 8 with a remainder of 71.
The next digit of our result is 8. 
Result so far: 7538.0
The remainder is 71 after subtracting 648 from 719.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 7:
The number 81 fits into 710 8 times, leaving a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 7538.8
If we subtract 648 from 710, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 8:
620 divided by 81 is 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 7538.87
If we take 567 away from 620, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 9:
If we divide 530 by 81, we get 6 and a remainder of 44.
Write down 6 as next digit of the result. 
Result so far: 7538.876
Deduct 486 from 530 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
81 can be fit into 440 5 times, resulting in a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 7538.8765
Deduct 405 from 440 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 11:
When dividing 350 by 81, we get 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 7538.87654
Subtract 324 from 350 to get 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 12:
260 divided by 81 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 7538.876543
Subtracting 243 from 260 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
81 goes into 170 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 7538.8765432
The remainder is 8 after subtracting 162 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 14:
80 divided by 81 is 0 with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 7538.8765432
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

In conclusion, the division gives 7538.8765432 with a balance of 8e-08.