We're dividing 376913 by 71 
We want to figure out the number of times 376913 can be divided by 71.

On to step 1:
The number 71 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 71

Let's proceed to step 2:
71 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 71

Moving on to step 3:
71 can be fit into 376 5 times, resulting in a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 355 from 376 leaves us with 21.
Append the next digit (9) from the dividend to 21 and continue with: 219 / 71

Advancing to step 4:
71 goes into 219 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Subtract 213 from 219 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 71

Going ahead to step 5:
When dividing 61 by 71, we get 0 with a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 530.0
If we subtract 0 from 61, we get 61.
Include the next digit (3) from the dividend after 61, then repeat: 613 / 71

On to step 6:
The number 71 fits into 613 8 times, leaving a remainder of 45.
The number 8 becomes the next digit in our result. 
Result so far: 5308.0
The remainder is 45 after subtracting 568 from 613.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
The number 71 fits into 450 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 5308.6
The remainder is 24 after subtracting 426 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
71 can be fit into 240 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 5308.63
If we take 213 away from 240, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 9:
270 divided by 71 is 3 with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 5308.633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The quotient of the division is 5308.633, and the remainder is 0.0057.