7582 divided by 26 
We want to divide 7582 by 26.

Going ahead to step 1:
If we divide 7 by 26, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 26

Advancing to step 2:
26 goes into 75 2 times with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 52 from 75 to get 23.
Bring next digit (8) of the dividend behind the 23 and repeat the process: 238 / 26

Going ahead to step 3:
238 divided by 26 is 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
If we subtract 234 from 238, we get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 26

Step 4:
If we divide 42 by 26, we get 1 and a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 291.0
Subtracting 26 from 42 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 5:
When dividing 160 by 26, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 291.6
Subtract 156 from 160 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.

Advancing to step 6:
If we divide 40 by 26, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 291.61
Subtracting 26 from 40 leaves us 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.

Moving on to step 7:
26 can be fit into 140 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 291.615
If we take 130 away from 140, 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.

Moving on to step 8:
The number 26 fits into 100 3 times, leaving a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 291.6153
If we subtract 78 from 100, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
220 divided by 26 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 291.61538
Subtracting 208 from 220 leaves us 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.

Going ahead to step 10:
If we divide 120 by 26, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 291.615384
Deduct 104 from 120 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
26 goes into 160 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 291.6153846
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.

Going ahead to step 12:
40 divided by 26 is 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 291.61538461
If we take 26 away from 40, we end up 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.

After the division, we end up with 291.61538461 and a remainder of 1.4e-08.