We look at the division of 314312 by 61 
Our goal is to divide 314312 by 61.

On to step 1:
3 divided by 61 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 61

Moving on to step 2:
If we divide 31 by 61, we get 0 and a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 61

Let's proceed to step 3:
61 goes into 314 5 times with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 305 from 314, we get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 61

Advancing to step 4:
93 divided by 61 is 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 61 away from 93, we end up with 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 61

Moving on to step 5:
61 goes into 321 5 times with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 515.0
Subtracting 305 from 321 leaves us with 16.
Fetch the next digit (2) from the dividend, attach it to 16 and continue: 162 / 61

On to step 6:
61 can be fit into 162 2 times, resulting in a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 5152.0
Subtract 122 from 162 to 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 7:
When dividing 400 by 61, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 5152.6
The remainder is 34 after subtracting 366 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 8:
The number 61 fits into 340 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 5152.65
Subtract 305 from 340 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 9:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 5152.655
Subtract 305 from 350 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 5152.655, and the remainder is 0.0045.