We look at the division of 738678 by 71 
We want to figure out the number of times 738678 can be divided by 71.

Step 1:
7 divided by 71 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 71

Step 2:
73 divided by 71 is 1 with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 71 from 73 leaves us with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 71

Step 3:
The number 71 fits into 28 0 times, leaving a remainder of 28.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 28, we get 28.
Take the next digit (6) from the dividend and append it to 28, then repeat: 286 / 71

Let's proceed to step 4:
71 goes into 286 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 104.0
The remainder is 2 after subtracting 284 from 286.
Fetch the next digit (7) from the dividend, attach it to 2 and continue: 27 / 71

Let's proceed to step 5:
When dividing 27 by 71, we get 0 with a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 1040.0
The remainder is 27 after subtracting 0 from 27.
Include the next digit (8) from the dividend after 27, then repeat: 278 / 71

Let's proceed to step 6:
278 divided by 71 is 3 with a remainder of 65.
Use 3 as the next digit of our solution. 
Result so far: 10403.0
Subtracting 213 from 278 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
650 divided by 71 is 9 with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 10403.9
If we take 639 away from 650, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
The number 71 fits into 110 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 10403.91
Deduct 71 from 110 and we're left 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.

Advancing to step 9:
If we divide 390 by 71, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 10403.915
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
71 can be fit into 350 4 times, resulting in a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 10403.9154
Deduct 284 from 350 and we're left 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.

On to step 11:
If we divide 660 by 71, we get 9 and a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 10403.91549
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.

Step 12:
71 can be fit into 210 2 times, resulting in a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 10403.915492
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.

On to step 13:
71 goes into 680 9 times with a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 10403.9154929
If we take 639 away from 680, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 14:
If we divide 410 by 71, we get 5 and a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 10403.91549295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 10403.91549295 with a remaining 5.5e-08.