3877744 ÷ 874 
We're looking to find how many times 874 goes into 3877744.

Advancing to step 1:
When dividing 3 by 874, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 874

Let's proceed to step 2:
874 can be fit into 38 0 times, resulting in a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 38 leaves us with 38.
Bring next digit (7) of the dividend behind the 38 and repeat the process: 387 / 874

Advancing to step 3:
The number 874 fits into 387 0 times, leaving a remainder of 387.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 387 after subtracting 0 from 387.
Take the next digit (7) from the dividend and append it to 387, then repeat: 3877 / 874

Advancing to step 4:
When dividing 3877 by 874, we get 4 with a remainder of 381.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 3496 from 3877 and we're left with 381.
Take the next digit (7) from the dividend and append it to 381, then repeat: 3817 / 874

Let's proceed to step 5:
3817 divided by 874 is 4 with a remainder of 321.
Write down 4 as next digit of the result. 
Result so far: 44.0
Subtract 3496 from 3817 to get 321.
Fetch the next digit (4) from the dividend, attach it to 321 and continue: 3214 / 874

Going ahead to step 6:
When dividing 3214 by 874, we get 3 with a remainder of 592.
Record the quotient 3 as the next digit in the result. 
Result so far: 443.0
If we subtract 2622 from 3214, we get 592.
Append the next digit (4) from the dividend to 592 and continue with: 5924 / 874

Let's proceed to step 7:
5924 divided by 874 is 6 with a remainder of 680.
The next digit of our result is 6. 
Result so far: 4436.0
If we take 5244 away from 5924, we end up with 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Advancing to step 8:
874 goes into 6800 7 times with a remainder of 682.
Put 7 as the next digit of the answer. 
Result so far: 4436.7
If we take 6118 away from 6800, we end up with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Moving on to step 9:
6820 divided by 874 is 7 with a remainder of 702.
Write down 7 as next digit of the result. 
Result so far: 4436.77
If we take 6118 away from 6820, we end up with 702.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7020, and continue the process.

In conclusion, the division gives 4436.77 with a balance of 0.702.