61968 ÷ 61 
We want to divide 61968 by 61.

Step 1:
6 divided by 61 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 61

Moving on to step 2:
When dividing 61 by 61, we get 1 with a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 61 from 61 and we're left with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 61

Going ahead to step 3:
9 divided by 61 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtract 0 from 9 to get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 61

Going ahead to step 4:
61 goes into 96 1 times with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 101.0
If we take 61 away from 96, we end up with 35.
Fetch the next digit (8) from the dividend, attach it to 35 and continue: 358 / 61

Advancing to step 5:
When dividing 358 by 61, we get 5 with a remainder of 53.
Use 5 as the next digit of our solution. 
Result so far: 1015.0
Subtract 305 from 358 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 6:
530 divided by 61 is 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 1015.8
If we subtract 488 from 530, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 1015.86
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 8:
When dividing 540 by 61, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 1015.868
Deduct 488 from 540 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
61 goes into 520 8 times with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 1015.8688
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 1015.8688 with a remainder of 0.00032.