601145 ÷ 81 
Our goal is to divide 601145 by 81.

Let's proceed to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 81

On to step 2:
81 goes into 60 0 times with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Take the next digit (1) from the dividend and append it to 60, then repeat: 601 / 81

Let's proceed to step 3:
If we divide 601 by 81, we get 7 and a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 567 from 601 to get 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 81

Advancing to step 4:
81 goes into 341 4 times with a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 74.0
Subtract 324 from 341 to get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 81

Let's proceed to step 5:
81 goes into 174 2 times with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 742.0
If we take 162 away from 174, we end up with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 81

Advancing to step 6:
The number 81 fits into 125 1 times, leaving a remainder of 44.
The next digit of our result is 1. 
Result so far: 7421.0
If we subtract 81 from 125, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
81 goes into 440 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 7421.5
If we take 405 away from 440, we end up 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.

Advancing to step 8:
The number 81 fits into 350 4 times, leaving a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 7421.54
If we subtract 324 from 350, we 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.

Moving on to step 9:
The number 81 fits into 260 3 times, leaving a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 7421.543
If we take 243 away from 260, we end up 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.

On to step 10:
If we divide 170 by 81, we get 2 and a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 7421.5432
Subtracting 162 from 170 leaves us 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.

Moving on to step 11:
80 divided by 81 is 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 7421.5432
Subtracting 0 from 80 leaves us 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.

Step 12:
800 divided by 81 is 9 with a remainder of 71.
The number 9 becomes the next digit in our result. 
Result so far: 7421.543209
The remainder is 71 after subtracting 729 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 13:
When dividing 710 by 81, we get 8 with a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 7421.5432098
Subtract 648 from 710 to 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.

On to step 14:
The number 81 fits into 620 7 times, leaving a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 7421.54320987
Subtract 567 from 620 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Our division results in 7421.54320987 with a remaining 5.3e-08.