147261 ÷ 14 
We want to figure out the number of times 147261 can be divided by 14.

Step 1:
When dividing 1 by 14, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 14

Moving on to step 2:
14 goes into 14 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 14 away from 14, we end up with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 14

Moving on to step 3:
If we divide 7 by 14, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 14

Moving on to step 4:
14 can be fit into 72 5 times, resulting in a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 105.0
If we take 70 away from 72, we end up with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 14

Advancing to step 5:
14 can be fit into 26 1 times, resulting in a remainder of 12.
The next digit of our result is 1. 
Result so far: 1051.0
Subtracting 14 from 26 leaves us with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 14

Moving on to step 6:
When dividing 121 by 14, we get 8 with a remainder of 9.
The next digit of our result is 8. 
Result so far: 10518.0
If we subtract 112 from 121, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
90 divided by 14 is 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 10518.6
Subtract 84 from 90 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 10518.64
If we subtract 56 from 60, we 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 9:
14 can be fit into 40 2 times, resulting in a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 10518.642
Deduct 28 from 40 and we're left with 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 10:
14 can be fit into 120 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 10518.6428
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
14 goes into 80 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 10518.64285
If we take 70 away from 80, we end up 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.

Step 12:
14 goes into 100 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 10518.642857
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.

Step 13:
If we divide 20 by 14, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 10518.6428571
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.

Going ahead to step 14:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 10518.64285714
If we subtract 56 from 60, we 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.

Our division results in 10518.64285714 with a remaining 4e-09.