We look at the division of 743455 by 71 
We want to divide 743455 by 71.

Advancing to step 1:
71 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 71

On to step 2:
71 can be fit into 74 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 71 from 74 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 71

Moving on to step 3:
If we divide 33 by 71, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 33 after subtracting 0 from 33.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 71

On to step 4:
When dividing 334 by 71, we get 4 with a remainder of 50.
The next digit of our result is 4. 
Result so far: 104.0
Deduct 284 from 334 and we're left with 50.
Bring next digit (5) of the dividend behind the 50 and repeat the process: 505 / 71

Step 5:
505 divided by 71 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 1047.0
If we take 497 away from 505, we end up with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 71

Going ahead to step 6:
When dividing 85 by 71, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 10471.0
If we take 71 away from 85, 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.

Going ahead to step 7:
If we divide 140 by 71, we get 1 and a remainder of 69.
The number 1 becomes the next digit in our result. 
Result so far: 10471.1
Subtracting 71 from 140 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 8:
If we divide 690 by 71, we get 9 and a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 10471.19
The remainder is 51 after subtracting 639 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 9:
When dividing 510 by 71, we get 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 10471.197
If we subtract 497 from 510, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
71 can be fit into 130 1 times, resulting in a remainder of 59.
Write down 1 as next digit of the result. 
Result so far: 10471.1971
Subtracting 71 from 130 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 11:
If we divide 590 by 71, we get 8 and a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 10471.19718
The remainder is 22 after subtracting 568 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 12:
The number 71 fits into 220 3 times, leaving a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 10471.197183
If we subtract 213 from 220, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
If we divide 70 by 71, we get 0 and a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 10471.197183
Subtract 0 from 70 to get 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 14:
When dividing 700 by 71, we get 9 with a remainder of 61.
Put 9 as the next digit of the answer. 
Result so far: 10471.19718309
Subtracting 639 from 700 leaves us 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.

Our division results in 10471.19718309 with a remaining 6.1e-08.