742978 divided by 71 
Let's see how many times 71 fits into 742978.

On to step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 71

Advancing to step 2:
The number 71 fits into 74 1 times, leaving a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 71 from 74 to get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 71

Let's proceed to step 3:
When dividing 32 by 71, we get 0 with a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 32, we end up with 32.
Fetch the next digit (9) from the dividend, attach it to 32 and continue: 329 / 71

Going ahead to step 4:
329 divided by 71 is 4 with a remainder of 45.
Use 4 as the next digit of our solution. 
Result so far: 104.0
If we subtract 284 from 329, we get 45.
Grab the next digit (7) from the dividend, add it to 45, then carry on: 457 / 71

Step 5:
When dividing 457 by 71, we get 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 1046.0
Subtract 426 from 457 to get 31.
Take the next digit (8) from the dividend and append it to 31, then repeat: 318 / 71

Step 6:
71 can be fit into 318 4 times, resulting in a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 10464.0
Deduct 284 from 318 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
When dividing 340 by 71, we get 4 with a remainder of 56.
Put 4 as the next digit of the answer. 
Result so far: 10464.4
Deduct 284 from 340 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
560 divided by 71 is 7 with a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 10464.47
Subtract 497 from 560 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 9:
71 goes into 630 8 times with a remainder of 62.
The next digit of our result is 8. 
Result so far: 10464.478
If we subtract 568 from 630, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
71 goes into 620 8 times with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 10464.4788
If we subtract 568 from 620, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

In conclusion, the division gives 10464.4788 with a balance of 0.00052.