Let's divide 300844 by 71
We want to figure out the number of times 300844 can be divided by 71.

Advancing to step 1:
When dividing 3 by 71, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 71

Advancing to step 2:
When dividing 30 by 71, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 71

On to step 3:
300 divided by 71 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 284 from 300 leaves us with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 71

Advancing to step 4:
The number 71 fits into 168 2 times, leaving a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Subtract 142 from 168 to get 26.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 71

On to step 5:
The number 71 fits into 264 3 times, leaving a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 423.0
If we subtract 213 from 264, we get 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 71

Step 6:
If we divide 514 by 71, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 4237.0
If we take 497 away from 514, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
71 goes into 170 2 times with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 4237.2
If we subtract 142 from 170, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
If we divide 280 by 71, we get 3 and a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 4237.23
If we take 213 away from 280, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 9:
670 divided by 71 is 9 with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 4237.239
The remainder is 31 after subtracting 639 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 10:
When dividing 310 by 71, we get 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 4237.2394
Deduct 284 from 310 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
71 can be fit into 260 3 times, resulting in a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 4237.23943
Subtracting 213 from 260 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 12:
If we divide 470 by 71, we get 6 and a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 4237.239436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 13:
When dividing 440 by 71, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 4237.2394366
Deduct 426 from 440 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 4237.2394366 with a remaining 1.4e-07.