We're dividing 156314 by 74 
We're looking to find how many times 74 goes into 156314.

On to step 1:
When dividing 1 by 74, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 74

Moving on to step 2:
15 divided by 74 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 74

Moving on to step 3:
When dividing 156 by 74, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 148 from 156 and we're left with 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 74

Advancing to step 4:
74 can be fit into 83 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we take 74 away from 83, we end up with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 74

Step 5:
74 can be fit into 91 1 times, resulting in a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 211.0
Subtract 74 from 91 to get 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 74

On to step 6:
When dividing 174 by 74, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 2112.0
Subtracting 148 from 174 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
If we divide 260 by 74, we get 3 and a remainder of 38.
The next digit of our result is 3. 
Result so far: 2112.3
Deduct 222 from 260 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
74 can be fit into 380 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 2112.35
Deduct 370 from 380 and we're left with 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:
74 goes into 100 1 times with a remainder of 26.
The next digit of our result is 1. 
Result so far: 2112.351
If we subtract 74 from 100, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
74 goes into 260 3 times with a remainder of 38.
Record the quotient 3 as the next digit in the result. 
Result so far: 2112.3513
Subtract 222 from 260 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 11:
74 can be fit into 380 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 2112.35135
If we subtract 370 from 380, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
The number 74 fits into 100 1 times, leaving a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 2112.351351
Deduct 74 from 100 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 13:
260 divided by 74 is 3 with a remainder of 38.
The next digit of our result is 3. 
Result so far: 2112.3513513
Subtract 222 from 260 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
74 can be fit into 380 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 2112.35135135
If we subtract 370 from 380, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 2112.35135135 and a remainder of 1e-08.