We're dividing 976953 by 61 
We want to figure out the number of times 976953 can be divided by 61.

Let's proceed to step 1:
The number 61 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 61

Advancing to step 2:
The number 61 fits into 97 1 times, leaving a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 61 away from 97, we end up with 36.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 61

Moving on to step 3:
If we divide 366 by 61, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 16.0
Subtracting 366 from 366 leaves us with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 61

On to step 4:
When dividing 9 by 61, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 160.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 61

Going ahead to step 5:
61 goes into 95 1 times with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 1601.0
The remainder is 34 after subtracting 61 from 95.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 61

Going ahead to step 6:
If we divide 343 by 61, we get 5 and a remainder of 38.
The next digit of our result is 5. 
Result so far: 16015.0
Subtracting 305 from 343 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
61 can be fit into 380 6 times, resulting in a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 16015.6
If we take 366 away from 380, we end up 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.

Moving on to step 8:
61 can be fit into 140 2 times, resulting in a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 16015.62
Subtracting 122 from 140 leaves us 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.

Let's proceed to step 9:
61 can be fit into 180 2 times, resulting in a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 16015.622
Subtracting 122 from 180 leaves us with 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 16015.622, with a leftover of 0.0058.