We're dividing 743344 by 81 
Let's see how many times 81 fits into 743344.

Advancing to step 1:
The number 81 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 81

Step 2:
81 goes into 74 0 times with a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 74 to get 74.
Append the next digit (3) from the dividend to 74 and continue with: 743 / 81

Going ahead to step 3:
When dividing 743 by 81, we get 9 with a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we take 729 away from 743, we end up with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 81

Step 4:
When dividing 143 by 81, we get 1 with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 91.0
If we subtract 81 from 143, we get 62.
Grab the next digit (4) from the dividend, add it to 62, then carry on: 624 / 81

Moving on to step 5:
81 goes into 624 7 times with a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 917.0
Deduct 567 from 624 and we're left with 57.
Take the next digit (4) from the dividend and append it to 57, then repeat: 574 / 81

Advancing to step 6:
81 goes into 574 7 times with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 9177.0
If we take 567 away from 574, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
70 divided by 81 is 0 with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 9177.0
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
81 can be fit into 700 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 9177.08
The remainder is 52 after subtracting 648 from 700.
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 9:
81 goes into 520 6 times with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 9177.086
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.

Advancing to step 10:
340 divided by 81 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 9177.0864
The remainder is 16 after subtracting 324 from 340.
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 11:
81 can be fit into 160 1 times, resulting in a remainder of 79.
The number 1 becomes the next digit in our result. 
Result so far: 9177.08641
If we subtract 81 from 160, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 12:
790 divided by 81 is 9 with a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 9177.086419
Deduct 729 from 790 and we're left 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.

Let's proceed to step 13:
610 divided by 81 is 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 9177.0864197
The remainder is 43 after subtracting 567 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 14:
If we divide 430 by 81, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 9177.08641975
Subtract 405 from 430 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 9177.08641975 with a remaining 2.5e-08.