We look at the division of 376319 by 86 
Our goal is to divide 376319 by 86.

Let's proceed to step 1:
3 divided by 86 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 86

Step 2:
When dividing 37 by 86, we get 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 86

Step 3:
86 can be fit into 376 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we subtract 344 from 376, we get 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 86

Step 4:
If we divide 323 by 86, we get 3 and a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
Deduct 258 from 323 and we're left with 65.
Grab the next digit (1) from the dividend, add it to 65, then carry on: 651 / 86

Step 5:
86 can be fit into 651 7 times, resulting in a remainder of 49.
The next digit of our result is 7. 
Result so far: 437.0
Deduct 602 from 651 and we're left with 49.
Grab the next digit (9) from the dividend, add it to 49, then carry on: 499 / 86

Let's proceed to step 6:
If we divide 499 by 86, we get 5 and a remainder of 69.
Use 5 as the next digit of our solution. 
Result so far: 4375.0
The remainder is 69 after subtracting 430 from 499.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 7:
When dividing 690 by 86, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 4375.8
Subtracting 688 from 690 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 86, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 4375.8
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
The number 86 fits into 200 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 4375.802
Subtract 172 from 200 to 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 10:
If we divide 280 by 86, we get 3 and a remainder of 22.
The next digit of our result is 3. 
Result so far: 4375.8023
If we subtract 258 from 280, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
The number 86 fits into 220 2 times, leaving a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 4375.80232
Deduct 172 from 220 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 12:
If we divide 480 by 86, we get 5 and a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 4375.802325
If we subtract 430 from 480, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
86 can be fit into 500 5 times, resulting in a remainder of 70.
The next digit of our result is 5. 
Result so far: 4375.8023255
Deduct 430 from 500 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 4375.8023255 with a balance of 7e-07.