742890 ÷ 81 
Our goal is to divide 742890 by 81.

Advancing to step 1:
When dividing 7 by 81, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 81

Let's proceed to step 2:
81 can be fit into 74 0 times, resulting in a remainder of 74.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Bring next digit (2) of the dividend behind the 74 and repeat the process: 742 / 81

Moving on to step 3:
81 goes into 742 9 times with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtracting 729 from 742 leaves us with 13.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 81

On to step 4:
138 divided by 81 is 1 with a remainder of 57.
The next digit of our result is 1. 
Result so far: 91.0
If we take 81 away from 138, we end up with 57.
Take the next digit (9) from the dividend and append it to 57, then repeat: 579 / 81

Step 5:
81 goes into 579 7 times with a remainder of 12.
The next digit of our result is 7. 
Result so far: 917.0
Deduct 567 from 579 and we're left with 12.
Grab the next digit (0) from the dividend, add it to 12, then carry on: 120 / 81

Moving on to step 6:
81 can be fit into 120 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 9171.0
Deduct 81 from 120 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
81 can be fit into 390 4 times, resulting in a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 9171.4
If we subtract 324 from 390, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 8:
81 can be fit into 660 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 9171.48
Subtract 648 from 660 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
The number 81 fits into 120 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 9171.481
The remainder is 39 after subtracting 81 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 10:
The number 81 fits into 390 4 times, leaving a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 9171.4814
If we subtract 324 from 390, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 11:
81 goes into 660 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9171.48148
If we subtract 648 from 660, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
When dividing 120 by 81, we get 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 9171.481481
If we take 81 away from 120, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 13:
When dividing 390 by 81, we get 4 with a remainder of 66.
Use 4 as the next digit of our solution. 
Result so far: 9171.4814814
If we subtract 324 from 390, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 14:
If we divide 660 by 81, we get 8 and a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 9171.48148148
Subtract 648 from 660 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 9171.48148148, and the remainder is 1.2e-08.