We're dividing 342904 by 61 
We're looking to find how many times 61 goes into 342904.

Going ahead to step 1:
61 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 61

Let's proceed to step 2:
61 goes into 34 0 times with a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (2) of the dividend behind the 34 and repeat the process: 342 / 61

On to step 3:
When dividing 342 by 61, we get 5 with a remainder of 37.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 305 away from 342, we end up with 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 61

Moving on to step 4:
The number 61 fits into 379 6 times, leaving a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 56.0
Subtract 366 from 379 to get 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 61

Let's proceed to step 5:
61 can be fit into 130 2 times, resulting in a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 562.0
Subtract 122 from 130 to get 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 61

Moving on to step 6:
If we divide 84 by 61, we get 1 and a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 5621.0
Subtract 61 from 84 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.

Let's proceed to step 7:
61 can be fit into 230 3 times, resulting in a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 5621.3
Subtracting 183 from 230 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 8:
470 divided by 61 is 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 5621.37
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.

Advancing to step 9:
61 goes into 430 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 5621.377
Subtracting 427 from 430 leaves us 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.

After the division, we end up with 5621.377 and a remainder of 0.0003.