We divide 1777302 by 260
We want to figure out the number of times 1777302 can be divided by 260.

Advancing to step 1:
When dividing 1 by 260, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 260

On to step 2:
260 goes into 17 0 times with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Grab the next digit (7) from the dividend, add it to 17, then carry on: 177 / 260

Let's proceed to step 3:
If we divide 177 by 260, we get 0 and a remainder of 177.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 177 to get 177.
Include the next digit (7) from the dividend after 177, then repeat: 1777 / 260

Going ahead to step 4:
260 goes into 1777 6 times with a remainder of 217.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 1560 from 1777 to get 217.
Grab the next digit (3) from the dividend, add it to 217, then carry on: 2173 / 260

Going ahead to step 5:
The number 260 fits into 2173 8 times, leaving a remainder of 93.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
If we take 2080 away from 2173, we end up with 93.
Bring next digit (0) of the dividend behind the 93 and repeat the process: 930 / 260

Let's proceed to step 6:
930 divided by 260 is 3 with a remainder of 150.
The number 3 becomes the next digit in our result. 
Result so far: 683.0
If we subtract 780 from 930, we get 150.
Grab the next digit (2) from the dividend, add it to 150, then carry on: 1502 / 260

Going ahead to step 7:
260 can be fit into 1502 5 times, resulting in a remainder of 202.
Use 5 as the next digit of our solution. 
Result so far: 6835.0
The remainder is 202 after subtracting 1300 from 1502.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Moving on to step 8:
When dividing 2020 by 260, we get 7 with a remainder of 200.
Record the quotient 7 as the next digit in the result. 
Result so far: 6835.7
The remainder is 200 after subtracting 1820 from 2020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Let's proceed to step 9:
The number 260 fits into 2000 7 times, leaving a remainder of 180.
Put 7 as the next digit of the answer. 
Result so far: 6835.77
The remainder is 180 after subtracting 1820 from 2000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

The final result is 6835.77 with a remainder of 0.18.