We look at the division of 352189 by 14 
Our goal is to divide 352189 by 14.

Step 1:
If we divide 3 by 14, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 14

On to step 2:
The number 14 fits into 35 2 times, leaving a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 28 from 35 to get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 14

Going ahead to step 3:
14 goes into 72 5 times with a remainder of 2.
The next digit of our result is 5. 
Result so far: 25.0
Subtract 70 from 72 to get 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 14

On to step 4:
14 goes into 21 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 251.0
The remainder is 7 after subtracting 14 from 21.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 14

Moving on to step 5:
When dividing 78 by 14, we get 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 2515.0
The remainder is 8 after subtracting 70 from 78.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 14

Advancing to step 6:
When dividing 89 by 14, we get 6 with a remainder of 5.
Put 6 as the next digit of the answer. 
Result so far: 25156.0
Subtracting 84 from 89 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
14 can be fit into 50 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 25156.3
If we subtract 42 from 50, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 25156.35
If we subtract 70 from 80, 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.

Step 9:
100 divided by 14 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 25156.357
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.

Advancing to step 10:
When dividing 20 by 14, we get 1 with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 25156.3571
If we take 14 away from 20, we end up 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.

On to step 11:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 25156.35714
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.

On to step 12:
When dividing 40 by 14, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 25156.357142
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.

Let's proceed to step 13:
14 goes into 120 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 25156.3571428
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
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: 25156.35714285
Subtracting 70 from 80 leaves us 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.

The final result is 25156.35714285 with a remainder of 1e-08.