We're dividing 259198 by 77 
We're looking to find how many times 77 goes into 259198.

On to step 1:
When dividing 2 by 77, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 77

Going ahead to step 2:
The number 77 fits into 25 0 times, leaving a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 77

Going ahead to step 3:
If we divide 259 by 77, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 231 from 259 and we're left with 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 77

On to step 4:
When dividing 281 by 77, we get 3 with a remainder of 50.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Subtracting 231 from 281 leaves us with 50.
Append the next digit (9) from the dividend to 50 and continue with: 509 / 77

Moving on to step 5:
When dividing 509 by 77, we get 6 with a remainder of 47.
Write down 6 as next digit of the result. 
Result so far: 336.0
The remainder is 47 after subtracting 462 from 509.
Grab the next digit (8) from the dividend, add it to 47, then carry on: 478 / 77

On to step 6:
If we divide 478 by 77, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 3366.0
Subtract 462 from 478 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.

Moving on to step 7:
77 can be fit into 160 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 3366.2
If we subtract 154 from 160, 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.

Step 8:
The number 77 fits into 60 0 times, leaving a remainder of 60.
The next digit of our result is 0. 
Result so far: 3366.2
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
600 divided by 77 is 7 with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 3366.207
Subtract 539 from 600 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 10:
The number 77 fits into 610 7 times, leaving a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 3366.2077
Deduct 539 from 610 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The final result is 3366.2077 with a remainder of 0.00071.