601665 divided by 81 
We're looking to find how many times 81 goes into 601665.

Step 1:
81 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 81

Advancing to step 2:
If we divide 60 by 81, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 60 leaves us with 60.
Take the next digit (1) from the dividend and append it to 60, then repeat: 601 / 81

On 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
Subtracting 567 from 601 leaves us with 34.
Take the next digit (6) from the dividend and append it to 34, then repeat: 346 / 81

On to step 4:
81 goes into 346 4 times with a remainder of 22.
The next digit of our result is 4. 
Result so far: 74.0
Subtract 324 from 346 to get 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 81

On to step 5:
The number 81 fits into 226 2 times, leaving a remainder of 64.
Use 2 as the next digit of our solution. 
Result so far: 742.0
If we subtract 162 from 226, we get 64.
Fetch the next digit (5) from the dividend, attach it to 64 and continue: 645 / 81

Moving on to step 6:
81 goes into 645 7 times with a remainder of 78.
The next digit of our result is 7. 
Result so far: 7427.0
Deduct 567 from 645 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 7:
The number 81 fits into 780 9 times, leaving a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 7427.9
If we subtract 729 from 780, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 8:
81 can be fit into 510 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 7427.96
If we subtract 486 from 510, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
When dividing 240 by 81, we get 2 with a remainder of 78.
Use 2 as the next digit of our solution. 
Result so far: 7427.962
The remainder is 78 after subtracting 162 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Advancing to step 10:
The number 81 fits into 780 9 times, leaving a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 7427.9629
Deduct 729 from 780 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 11:
81 can be fit into 510 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 7427.96296
Subtracting 486 from 510 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
If we divide 240 by 81, we get 2 and a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 7427.962962
Subtract 162 from 240 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 13:
81 can be fit into 780 9 times, resulting in a remainder of 51.
The next digit of our result is 9. 
Result so far: 7427.9629629
The remainder is 51 after subtracting 729 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 14:
If we divide 510 by 81, we get 6 and a remainder of 24.
The next digit of our result is 6. 
Result so far: 7427.96296296
Deduct 486 from 510 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 7427.96296296 with a balance of 2.4e-08.