We're dividing 35573 by 14 
We want to figure out the number of times 35573 can be divided by 14.

Step 1:
14 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 14

Going ahead to step 2:
When dividing 35 by 14, we get 2 with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 28 away from 35, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 14

Moving on to step 3:
14 goes into 75 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 25.0
If we take 70 away from 75, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 14

Step 4:
57 divided by 14 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 254.0
Subtract 56 from 57 to get 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 14

Moving on to step 5:
13 divided by 14 is 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 2540.0
The remainder is 13 after subtracting 0 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
14 goes into 130 9 times with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 2540.9
Deduct 126 from 130 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.

On to step 7:
14 goes into 40 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 2540.92
Subtract 28 from 40 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
If we divide 120 by 14, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 2540.928
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
When dividing 80 by 14, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2540.9285
Subtract 70 from 80 to 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.

Advancing to step 10:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 2540.92857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
20 divided by 14 is 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 2540.928571
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
If we divide 60 by 14, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 2540.9285714
Subtract 56 from 60 to 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 13:
If we divide 40 by 14, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 2540.92857142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 2540.92857142 with a remainder of 1.2e-08.