We're dividing 260089 by 76 
We want to figure out the number of times 260089 can be divided by 76.

Step 1:
When dividing 2 by 76, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 76

Advancing to step 2:
When dividing 26 by 76, we get 0 with a remainder of 26.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 26 to get 26.
Fetch the next digit (0) from the dividend, attach it to 26 and continue: 260 / 76

Advancing to step 3:
260 divided by 76 is 3 with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 32 after subtracting 228 from 260.
Grab the next digit (0) from the dividend, add it to 32, then carry on: 320 / 76

Going ahead to step 4:
320 divided by 76 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Deduct 304 from 320 and we're left with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 76

Going ahead to step 5:
76 goes into 168 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 342.0
Deduct 152 from 168 and we're left with 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 76

Going ahead to step 6:
If we divide 169 by 76, we get 2 and a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 3422.0
If we subtract 152 from 169, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
When dividing 170 by 76, we get 2 with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 3422.2
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
76 goes into 180 2 times with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 3422.22
Deduct 152 from 180 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 3422.22, and the remainder is 0.028.