We divide 373879 by 6
We're looking to find how many times 6 goes into 373879.

Let's proceed to step 1:
When dividing 3 by 6, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 6

On to step 2:
6 goes into 37 6 times with a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 36 from 37 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 6

On to step 3:
13 divided by 6 is 2 with a remainder of 1.
Write down 2 as next digit of the result. 
Result so far: 62.0
Deduct 12 from 13 and we're left with 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 6

Moving on to step 4:
6 goes into 18 3 times with a remainder of 0.
The next digit of our result is 3. 
Result so far: 623.0
If we subtract 18 from 18, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 6

Moving on to step 5:
The number 6 fits into 7 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 6231.0
If we take 6 away from 7, we end up with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 6

Moving on to step 6:
If we divide 19 by 6, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 62313.0
The remainder is 1 after subtracting 18 from 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 6, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 62313.1
If we subtract 6 from 10, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 62313.16
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 62313.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 62313.166 with a balance of 0.0004.