We look at the division of 178662 by 26 
We want to divide 178662 by 26.

Going ahead to step 1:
The number 26 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 26

On to step 2:
When dividing 17 by 26, we get 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 26

On to step 3:
The number 26 fits into 178 6 times, leaving a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 156 from 178 to get 22.
Take the next digit (6) from the dividend and append it to 22, then repeat: 226 / 26

Going ahead to step 4:
26 can be fit into 226 8 times, resulting in a remainder of 18.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 208 from 226 and we're left with 18.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 26

Moving on to step 5:
When dividing 186 by 26, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 687.0
The remainder is 4 after subtracting 182 from 186.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 26

Going ahead to step 6:
26 can be fit into 42 1 times, resulting in a remainder of 16.
Put 1 as the next digit of the answer. 
Result so far: 6871.0
Subtract 26 from 42 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
The number 26 fits into 160 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6871.6
Subtracting 156 from 160 leaves us 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.

Let's proceed to step 8:
When dividing 40 by 26, we get 1 with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 6871.61
If we subtract 26 from 40, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
The number 26 fits into 140 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 6871.615
Subtract 130 from 140 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.

Going ahead to step 10:
26 can be fit into 100 3 times, resulting in a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 6871.6153
Deduct 78 from 100 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 11:
220 divided by 26 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6871.61538
Subtract 208 from 220 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 12:
26 goes into 120 4 times with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6871.615384
The remainder is 16 after subtracting 104 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 13:
The number 26 fits into 160 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6871.6153846
Subtracting 156 from 160 leaves us 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 14:
When dividing 40 by 26, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 6871.61538461
Deduct 26 from 40 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 6871.61538461, and the remainder is 1.4e-08.