We're dividing 55914 by 61 
We want to figure out the number of times 55914 can be divided by 61.

On to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 61

Advancing to step 2:
When dividing 55 by 61, we get 0 with a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 61

Step 3:
When dividing 559 by 61, we get 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Deduct 549 from 559 and we're left with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 61

Advancing to step 4:
101 divided by 61 is 1 with a remainder of 40.
Put 1 as the next digit of the answer. 
Result so far: 91.0
Deduct 61 from 101 and we're left with 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 61

Moving on to step 5:
The number 61 fits into 404 6 times, leaving a remainder of 38.
Put 6 as the next digit of the answer. 
Result so far: 916.0
The remainder is 38 after subtracting 366 from 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 6:
380 divided by 61 is 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 916.6
The remainder is 14 after subtracting 366 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 61, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 916.62
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.

Going ahead to step 8:
When dividing 180 by 61, we get 2 with a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 916.622
The remainder is 58 after subtracting 122 from 180.
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 result is 916.622 with a remainder of 0.0058.