We're dividing 684336 by 61 
We want to figure out the number of times 684336 can be divided by 61.

Let's proceed to step 1:
6 divided by 61 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 61

Advancing to step 2:
61 goes into 68 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 61 from 68 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 61

Moving on to step 3:
74 divided by 61 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 13 after subtracting 61 from 74.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 61

Going ahead to step 4:
If we divide 133 by 61, we get 2 and a remainder of 11.
The next digit of our result is 2. 
Result so far: 112.0
Deduct 122 from 133 and we're left with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 61

Let's proceed to step 5:
113 divided by 61 is 1 with a remainder of 52.
The next digit of our result is 1. 
Result so far: 1121.0
Deduct 61 from 113 and we're left with 52.
Grab the next digit (6) from the dividend, add it to 52, then carry on: 526 / 61

Let's proceed to step 6:
When dividing 526 by 61, we get 8 with a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 11218.0
The remainder is 38 after subtracting 488 from 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
When dividing 380 by 61, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 11218.6
Subtracting 366 from 380 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
If we divide 140 by 61, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 11218.62
Deduct 122 from 140 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
180 divided by 61 is 2 with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 11218.622
Subtract 122 from 180 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final outcome is 11218.622, with a leftover of 0.0058.