We're dividing 314356 by 59 
We want to figure out the number of times 314356 can be divided by 59.

Let's proceed to step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 59

On to step 2:
59 can be fit into 31 0 times, resulting in a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 59

Advancing to step 3:
59 goes into 314 5 times with a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 295 from 314 and we're left with 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 59

Let's proceed to step 4:
59 can be fit into 193 3 times, resulting in a remainder of 16.
The next digit of our result is 3. 
Result so far: 53.0
Deduct 177 from 193 and we're left with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 59

Step 5:
The number 59 fits into 165 2 times, leaving a remainder of 47.
The number 2 becomes the next digit in our result. 
Result so far: 532.0
Deduct 118 from 165 and we're left with 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 59

Going ahead to step 6:
When dividing 476 by 59, we get 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 5328.0
If we subtract 472 from 476, 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.

Let's proceed to step 7:
40 divided by 59 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 5328.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 59 fits into 400 6 times, leaving a remainder of 46.
Put 6 as the next digit of the answer. 
Result so far: 5328.06
The remainder is 46 after subtracting 354 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 9:
If we divide 460 by 59, we get 7 and a remainder of 47.
The number 7 becomes the next digit in our result. 
Result so far: 5328.067
If we take 413 away from 460, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 10:
When dividing 470 by 59, we get 7 with a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 5328.0677
Deduct 413 from 470 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The quotient of the division is 5328.0677, and the remainder is 0.00057.