We look at the division of 3779919 by 871 
Our goal is to divide 3779919 by 871.

Advancing to step 1:
If we divide 3 by 871, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 871

Let's proceed to step 2:
37 divided by 871 is 0 with a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Include the next digit (7) from the dividend after 37, then repeat: 377 / 871

Moving on to step 3:
If we divide 377 by 871, we get 0 and a remainder of 377.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 377 after subtracting 0 from 377.
Append the next digit (9) from the dividend to 377 and continue with: 3779 / 871

Going ahead to step 4:
The number 871 fits into 3779 4 times, leaving a remainder of 295.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 3484 from 3779 and we're left with 295.
Fetch the next digit (9) from the dividend, attach it to 295 and continue: 2959 / 871

On to step 5:
871 goes into 2959 3 times with a remainder of 346.
Use 3 as the next digit of our solution. 
Result so far: 43.0
Deduct 2613 from 2959 and we're left with 346.
Fetch the next digit (1) from the dividend, attach it to 346 and continue: 3461 / 871

Advancing to step 6:
871 goes into 3461 3 times with a remainder of 848.
The next digit of our result is 3. 
Result so far: 433.0
The remainder is 848 after subtracting 2613 from 3461.
Grab the next digit (9) from the dividend, add it to 848, then carry on: 8489 / 871

Step 7:
8489 divided by 871 is 9 with a remainder of 650.
Write down 9 as next digit of the result. 
Result so far: 4339.0
Subtracting 7839 from 8489 leaves us with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Advancing to step 8:
871 goes into 6500 7 times with a remainder of 403.
Record the quotient 7 as the next digit in the result. 
Result so far: 4339.7
Deduct 6097 from 6500 and we're left with 403.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4030, and continue the process.

Going ahead to step 9:
871 can be fit into 4030 4 times, resulting in a remainder of 546.
Put 4 as the next digit of the answer. 
Result so far: 4339.74
If we take 3484 away from 4030, we end up with 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

On to step 10:
The number 871 fits into 5460 6 times, leaving a remainder of 234.
The next digit of our result is 6. 
Result so far: 4339.746
Deduct 5226 from 5460 and we're left with 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

On to step 11:
2340 divided by 871 is 2 with a remainder of 598.
Write down 2 as next digit of the result. 
Result so far: 4339.7462
Subtracting 1742 from 2340 leaves us with 598.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5980, and continue the process.

Moving on to step 12:
5980 divided by 871 is 6 with a remainder of 754.
The next digit of our result is 6. 
Result so far: 4339.74626
Subtracting 5226 from 5980 leaves us with 754.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7540, and continue the process.

Let's proceed to step 13:
The number 871 fits into 7540 8 times, leaving a remainder of 572.
Record the quotient 8 as the next digit in the result. 
Result so far: 4339.746268
Deduct 6968 from 7540 and we're left with 572.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5720, and continue the process.

Going ahead to step 14:
871 goes into 5720 6 times with a remainder of 494.
Write down 6 as next digit of the result. 
Result so far: 4339.7462686
If we take 5226 away from 5720, we end up with 494.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4940, and continue the process.

On to step 15:
871 goes into 4940 5 times with a remainder of 585.
Write down 5 as next digit of the result. 
Result so far: 4339.74626865
Subtract 4355 from 4940 to get 585.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5850, and continue the process.

Our division results in 4339.74626865 with a remaining 5.85e-07.