We look at the division of 782103 by 71 
We want to figure out the number of times 782103 can be divided by 71.

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
Deduct 0 from 7 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 71

Step 2:
If we divide 78 by 71, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 71 from 78 and we're left with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 71

Going ahead to step 3:
71 can be fit into 72 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 71 from 72 to get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 71

Step 4:
The number 71 fits into 11 0 times, leaving a remainder of 11.
The next digit of our result is 0. 
Result so far: 110.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 71

Advancing to step 5:
110 divided by 71 is 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 1101.0
The remainder is 39 after subtracting 71 from 110.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 71

On to step 6:
71 goes into 393 5 times with a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 11015.0
Subtracting 355 from 393 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
71 goes into 380 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 11015.5
If we take 355 away from 380, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 8:
When dividing 250 by 71, we get 3 with a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 11015.53
If we take 213 away from 250, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
The number 71 fits into 370 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 11015.535
Deduct 355 from 370 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 10:
The number 71 fits into 150 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 11015.5352
The remainder is 8 after subtracting 142 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
71 can be fit into 80 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 11015.53521
If we take 71 away from 80, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
If we divide 90 by 71, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 11015.535211
Subtract 71 from 90 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

After the division, we end up with 11015.535211 and a remainder of 1.9e-06.