We're dividing 368219 by 61 
Let's see how many times 61 fits into 368219.

Going ahead to step 1:
61 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 61

On to step 2:
The number 61 fits into 36 0 times, leaving a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Bring next digit (8) of the dividend behind the 36 and repeat the process: 368 / 61

Advancing to step 3:
368 divided by 61 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 366 from 368 leaves us with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 61

On to step 4:
If we divide 22 by 61, we get 0 and a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 60.0
If we subtract 0 from 22, we get 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 61

Advancing to step 5:
221 divided by 61 is 3 with a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 603.0
Subtract 183 from 221 to get 38.
Grab the next digit (9) from the dividend, add it to 38, then carry on: 389 / 61

Going ahead to step 6:
If we divide 389 by 61, we get 6 and a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 6036.0
Subtract 366 from 389 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
61 goes into 230 3 times with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 6036.3
Subtract 183 from 230 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 8:
The number 61 fits into 470 7 times, leaving a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 6036.37
If we take 427 away from 470, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 9:
430 divided by 61 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 6036.377
If we take 427 away from 430, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 6036.377 with a remainder of 0.0003.