We divide 105642 by 14
Our goal is to divide 105642 by 14.

Step 1:
When dividing 1 by 14, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 14

Moving on to step 2:
The number 14 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 14

Advancing to step 3:
14 can be fit into 105 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 98 from 105 to get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 14

Step 4:
14 can be fit into 76 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we subtract 70 from 76, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 14

Step 5:
When dividing 64 by 14, we get 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 754.0
If we subtract 56 from 64, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 14

Let's proceed to step 6:
When dividing 82 by 14, we get 5 with a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 7545.0
If we take 70 away from 82, we end up 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 7:
14 can be fit into 120 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7545.8
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.

Step 8:
The number 14 fits into 80 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7545.85
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.

Advancing to step 9:
If we divide 100 by 14, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7545.857
If we take 98 away from 100, we end up with 2.
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 10:
14 goes into 20 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 7545.8571
If we subtract 14 from 20, we 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.

On to step 11:
60 divided by 14 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 7545.85714
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.

Going ahead to step 12:
The number 14 fits into 40 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 7545.857142
If we subtract 28 from 40, we 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 13:
When dividing 120 by 14, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 7545.8571428
Subtracting 112 from 120 leaves us 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.

Going ahead to step 14:
80 divided by 14 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 7545.85714285
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.

The final outcome is 7545.85714285, with a leftover of 1e-08.