We're dividing 379317 by 59 
Let's see how many times 59 fits into 379317.

Step 1:
When dividing 3 by 59, 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 (7) from the dividend, attach it to 3 and continue: 37 / 59

Step 2:
The number 59 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Grab the next digit (9) from the dividend, add it to 37, then carry on: 379 / 59

Moving on to step 3:
If we divide 379 by 59, we get 6 and a remainder of 25.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 354 from 379 leaves us with 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 59

Advancing to step 4:
59 can be fit into 253 4 times, resulting in a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 64.0
If we subtract 236 from 253, we get 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 59

Advancing to step 5:
If we divide 171 by 59, we get 2 and a remainder of 53.
Write down 2 as next digit of the result. 
Result so far: 642.0
If we take 118 away from 171, we end up with 53.
Append the next digit (7) from the dividend to 53 and continue with: 537 / 59

Advancing to step 6:
59 can be fit into 537 9 times, resulting in a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 6429.0
The remainder is 6 after subtracting 531 from 537.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
59 can be fit into 60 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 6429.1
Subtracting 59 from 60 leaves us with 1.
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 8:
59 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6429.1
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
59 can be fit into 100 1 times, resulting in a remainder of 41.
The next digit of our result is 1. 
Result so far: 6429.101
The remainder is 41 after subtracting 59 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 10:
59 goes into 410 6 times with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 6429.1016
Deduct 354 from 410 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 11:
If we divide 560 by 59, we get 9 and a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 6429.10169
If we take 531 away from 560, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 12:
59 goes into 290 4 times with a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 6429.101694
If we subtract 236 from 290, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 13:
59 can be fit into 540 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 6429.1016949
Subtract 531 from 540 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 14:
When dividing 90 by 59, we get 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 6429.10169491
Subtracting 59 from 90 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

In conclusion, the division gives 6429.10169491 with a balance of 3.1e-08.