768090 ÷ 71 
We want to figure out the number of times 768090 can be divided by 71.

On to step 1:
71 can be fit into 7 0 times, resulting in 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.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 71

Step 2:
When dividing 76 by 71, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 71 from 76 to get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 71

On to step 3:
The number 71 fits into 58 0 times, leaving a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 58 leaves us with 58.
Fetch the next digit (0) from the dividend, attach it to 58 and continue: 580 / 71

On to step 4:
71 can be fit into 580 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 108.0
Subtract 568 from 580 to get 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 71

Moving on to step 5:
The number 71 fits into 129 1 times, leaving a remainder of 58.
The next digit of our result is 1. 
Result so far: 1081.0
Deduct 71 from 129 and we're left with 58.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 71

Moving on to step 6:
71 can be fit into 580 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 10818.0
Subtract 568 from 580 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.

Step 7:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 10818.1
Deduct 71 from 120 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 8:
When dividing 490 by 71, we get 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 10818.16
Subtracting 426 from 490 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 9:
640 divided by 71 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 10818.169
If we subtract 639 from 640, 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.

Let's proceed to step 10:
71 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10818.169
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
71 can be fit into 100 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 10818.16901
The remainder is 29 after subtracting 71 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 12:
The number 71 fits into 290 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 10818.169014
Subtract 284 from 290 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
60 divided by 71 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 10818.169014
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
71 can be fit into 600 8 times, resulting in a remainder of 32.
The next digit of our result is 8. 
Result so far: 10818.16901408
Subtracting 568 from 600 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 10818.16901408, and the remainder is 3.2e-08.