We look at the division of 376934 by 86 
Our goal is to divide 376934 by 86.

Step 1:
3 divided by 86 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 86

Step 2:
If we divide 37 by 86, we get 0 and a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 86

Moving on to step 3:
If we divide 376 by 86, we get 4 and a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 4.0
The remainder is 32 after subtracting 344 from 376.
Fetch the next digit (9) from the dividend, attach it to 32 and continue: 329 / 86

Moving on to step 4:
86 can be fit into 329 3 times, resulting in a remainder of 71.
The next digit of our result is 3. 
Result so far: 43.0
The remainder is 71 after subtracting 258 from 329.
Take the next digit (3) from the dividend and append it to 71, then repeat: 713 / 86

Step 5:
When dividing 713 by 86, we get 8 with a remainder of 25.
Write down 8 as next digit of the result. 
Result so far: 438.0
Subtract 688 from 713 to get 25.
Bring next digit (4) of the dividend behind the 25 and repeat the process: 254 / 86

Step 6:
86 can be fit into 254 2 times, resulting in a remainder of 82.
Record the quotient 2 as the next digit in the result. 
Result so far: 4382.0
Deduct 172 from 254 and we're left with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 7:
86 goes into 820 9 times with a remainder of 46.
Write down 9 as next digit of the result. 
Result so far: 4382.9
Deduct 774 from 820 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
460 divided by 86 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 4382.95
If we take 430 away from 460, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
The number 86 fits into 300 3 times, leaving a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 4382.953
Subtracting 258 from 300 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 10:
420 divided by 86 is 4 with a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 4382.9534
Subtracting 344 from 420 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 11:
The number 86 fits into 760 8 times, leaving a remainder of 72.
Write down 8 as next digit of the result. 
Result so far: 4382.95348
The remainder is 72 after subtracting 688 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 12:
The number 86 fits into 720 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 4382.953488
If we subtract 688 from 720, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 4382.953488 with a balance of 3.2e-06.