We look at the division of 55105 by 71 
We want to divide 55105 by 71.

Going ahead to step 1:
71 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 71

Advancing to step 2:
The number 71 fits into 55 0 times, leaving a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Include the next digit (1) from the dividend after 55, then repeat: 551 / 71

Let's proceed to step 3:
When dividing 551 by 71, we get 7 with a remainder of 54.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 497 from 551 leaves us with 54.
Grab the next digit (0) from the dividend, add it to 54, then carry on: 540 / 71

Advancing to step 4:
540 divided by 71 is 7 with a remainder of 43.
The next digit of our result is 7. 
Result so far: 77.0
The remainder is 43 after subtracting 497 from 540.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 71

Advancing to step 5:
71 goes into 435 6 times with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 776.0
Subtracting 426 from 435 leaves us 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.

Let's proceed to step 6:
If we divide 90 by 71, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 776.1
If we take 71 away from 90, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
71 can be fit into 190 2 times, resulting in a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 776.12
Subtract 142 from 190 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
If we divide 480 by 71, we get 6 and a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 776.126
Subtract 426 from 480 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 9:
71 goes into 540 7 times with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 776.1267
Subtracting 497 from 540 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 10:
If we divide 430 by 71, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 776.12676
If we subtract 426 from 430, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
The number 71 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 776.12676
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 12:
When dividing 400 by 71, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 776.1267605
If we subtract 355 from 400, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 13:
If we divide 450 by 71, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 776.12676056
Subtracting 426 from 450 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 776.12676056, and the remainder is 2.4e-08.