We're dividing 735878 by 14 
We're looking to find how many times 14 goes into 735878.

Let's proceed to step 1:
7 divided by 14 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 14

Advancing to step 2:
The number 14 fits into 73 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 70 from 73 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 14

On to step 3:
When dividing 35 by 14, we get 2 with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Subtract 28 from 35 to get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 14

On to step 4:
If we divide 78 by 14, we get 5 and a remainder of 8.
The next digit of our result is 5. 
Result so far: 525.0
If we subtract 70 from 78, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 14

Let's proceed to step 5:
14 can be fit into 87 6 times, resulting in a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 5256.0
If we take 84 away from 87, we end up with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 14

Step 6:
If we divide 38 by 14, we get 2 and a remainder of 10.
The next digit of our result is 2. 
Result so far: 52562.0
If we subtract 28 from 38, 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 7:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 52562.7
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
The number 14 fits into 20 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 52562.71
Subtracting 14 from 20 leaves us 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.

Advancing to step 9:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 52562.714
Deduct 56 from 60 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.

Step 10:
14 goes into 40 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 52562.7142
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 11:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 52562.71428
Subtract 112 from 120 to 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.

Moving on to step 12:
When dividing 80 by 14, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 52562.714285
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.

Let's proceed to step 13:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 52562.7142857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 14:
When dividing 20 by 14, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 52562.71428571
Subtracting 14 from 20 leaves us 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.

After the division, we end up with 52562.71428571 and a remainder of 6e-09.