We're dividing 741696 by 71 
Our goal is to divide 741696 by 71.

Let's proceed to step 1:
When dividing 7 by 71, 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.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 71

Advancing to step 2:
71 goes into 74 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 71 from 74 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 71

On to step 3:
71 can be fit into 31 0 times, resulting in a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 31 and we're left with 31.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 71

Advancing to step 4:
If we divide 316 by 71, we get 4 and a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 104.0
If we take 284 away from 316, we end up with 32.
Grab the next digit (9) from the dividend, add it to 32, then carry on: 329 / 71

Going ahead to step 5:
When dividing 329 by 71, we get 4 with a remainder of 45.
Use 4 as the next digit of our solution. 
Result so far: 1044.0
Subtracting 284 from 329 leaves us with 45.
Fetch the next digit (6) from the dividend, attach it to 45 and continue: 456 / 71

Let's proceed to step 6:
If we divide 456 by 71, we get 6 and a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 10446.0
Subtracting 426 from 456 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 10446.4
Subtract 284 from 300 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
If we divide 160 by 71, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 10446.42
Subtract 142 from 160 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
The number 71 fits into 180 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 10446.422
If we subtract 142 from 180, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 10446.422 with a balance of 0.0038.