We're dividing 601414 by 81 
We want to divide 601414 by 81.

Going ahead to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 81

Advancing to step 2:
The number 81 fits into 60 0 times, leaving a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Append the next digit (1) from the dividend to 60 and continue with: 601 / 81

Step 3:
When dividing 601 by 81, we get 7 with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 567 from 601 to get 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 81

Advancing to step 4:
81 can be fit into 344 4 times, resulting in a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 324 away from 344, we end up with 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 81

On to step 5:
81 can be fit into 201 2 times, resulting in a remainder of 39.
Record the quotient 2 as the next digit in the result. 
Result so far: 742.0
If we subtract 162 from 201, we get 39.
Take the next digit (4) from the dividend and append it to 39, then repeat: 394 / 81

Let's proceed to step 6:
81 goes into 394 4 times with a remainder of 70.
Put 4 as the next digit of the answer. 
Result so far: 7424.0
If we subtract 324 from 394, we get 70.
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 7:
81 can be fit into 700 8 times, resulting in a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 7424.8
If we subtract 648 from 700, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 8:
81 can be fit into 520 6 times, resulting in a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 7424.86
Subtract 486 from 520 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
When dividing 340 by 81, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 7424.864
Deduct 324 from 340 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
81 goes into 160 1 times with a remainder of 79.
Record the quotient 1 as the next digit in the result. 
Result so far: 7424.8641
Subtracting 81 from 160 leaves us with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 11:
The number 81 fits into 790 9 times, leaving a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 7424.86419
Subtracting 729 from 790 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 12:
The number 81 fits into 610 7 times, leaving a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7424.864197
If we subtract 567 from 610, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 13:
430 divided by 81 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 7424.8641975
The remainder is 25 after subtracting 405 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 14:
81 goes into 250 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 7424.86419753
Subtract 243 from 250 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 7424.86419753 with a balance of 7e-09.