We're dividing 511098 by 61 
Our goal is to divide 511098 by 61.

Moving on to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 61

On to step 2:
If we divide 51 by 61, we get 0 and a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Bring next digit (1) of the dividend behind the 51 and repeat the process: 511 / 61

Going ahead to step 3:
61 can be fit into 511 8 times, resulting in a remainder of 23.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 23 after subtracting 488 from 511.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 61

Step 4:
61 goes into 230 3 times with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 83.0
Subtract 183 from 230 to get 47.
Bring next digit (9) of the dividend behind the 47 and repeat the process: 479 / 61

Let's proceed to step 5:
61 goes into 479 7 times with a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 837.0
The remainder is 52 after subtracting 427 from 479.
Append the next digit (8) from the dividend to 52 and continue with: 528 / 61

Step 6:
The number 61 fits into 528 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 8378.0
Subtracting 488 from 528 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
400 divided by 61 is 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 8378.6
If we take 366 away from 400, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
61 goes into 340 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 8378.65
The remainder is 35 after subtracting 305 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
If we divide 350 by 61, we get 5 and a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8378.655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 8378.655, and the remainder is 0.0045.