We look at the division of 723174 by 71 
We're looking to find how many times 71 goes into 723174.

On to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 71

Going ahead to step 2:
If we divide 72 by 71, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 71 away from 72, we end up with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 71

Going ahead to step 3:
When dividing 13 by 71, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 13, we end up with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 71

Let's proceed to step 4:
71 goes into 131 1 times with a remainder of 60.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
Subtracting 71 from 131 leaves us with 60.
Take the next digit (7) from the dividend and append it to 60, then repeat: 607 / 71

Advancing to step 5:
71 can be fit into 607 8 times, resulting in a remainder of 39.
Put 8 as the next digit of the answer. 
Result so far: 1018.0
If we take 568 away from 607, we end up with 39.
Grab the next digit (4) from the dividend, add it to 39, then carry on: 394 / 71

Advancing to step 6:
When dividing 394 by 71, we get 5 with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 10185.0
Subtracting 355 from 394 leaves us 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 7:
71 goes into 390 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 10185.5
Deduct 355 from 390 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
71 can be fit into 350 4 times, resulting in a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 10185.54
If we take 284 away from 350, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
660 divided by 71 is 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 10185.549
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
When dividing 210 by 71, we get 2 with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 10185.5492
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 11:
When dividing 680 by 71, we get 9 with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 10185.54929
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 12:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 10185.549295
Deduct 355 from 410 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 13:
If we divide 550 by 71, we get 7 and a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 10185.5492957
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 14:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 10185.54929577
The remainder is 33 after subtracting 497 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 10185.54929577, with a leftover of 3.3e-08.