We look at the division of 743321 by 17 
Our goal is to divide 743321 by 17.

Moving on to step 1:
When dividing 7 by 17, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 17

Going ahead to step 2:
17 goes into 74 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 68 from 74 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 17

On to step 3:
63 divided by 17 is 3 with a remainder of 12.
The next digit of our result is 3. 
Result so far: 43.0
Deduct 51 from 63 and we're left with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 17

Going ahead to step 4:
123 divided by 17 is 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 437.0
Subtract 119 from 123 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 17

Going ahead to step 5:
The number 17 fits into 42 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 4372.0
Subtract 34 from 42 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 17

Let's proceed to step 6:
81 divided by 17 is 4 with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 43724.0
Subtracting 68 from 81 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
130 divided by 17 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 43724.7
If we take 119 away from 130, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 17 fits into 110 6 times, leaving a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 43724.76
Subtracting 102 from 110 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.

Going ahead to step 9:
17 goes into 80 4 times with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 43724.764
Subtract 68 from 80 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.

Going ahead to step 10:
17 goes into 120 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 43724.7647
If we subtract 119 from 120, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
10 divided by 17 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 43724.7647
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
17 goes into 100 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 43724.764705
Subtract 85 from 100 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 13:
When dividing 150 by 17, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 43724.7647058
If we take 136 away from 150, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 14:
The number 17 fits into 140 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 43724.76470588
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 43724.76470588 with a balance of 4e-09.