We're dividing 950971 by 61 
We want to divide 950971 by 61.

Moving on to step 1:
61 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 61

Let's proceed to step 2:
If we divide 95 by 61, we get 1 and a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 34 after subtracting 61 from 95.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 61

Step 3:
When dividing 340 by 61, we get 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 305 from 340 leaves us with 35.
Bring next digit (9) of the dividend behind the 35 and repeat the process: 359 / 61

Advancing to step 4:
61 goes into 359 5 times with a remainder of 54.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
Subtracting 305 from 359 leaves us with 54.
Bring next digit (7) of the dividend behind the 54 and repeat the process: 547 / 61

Advancing to step 5:
547 divided by 61 is 8 with a remainder of 59.
Put 8 as the next digit of the answer. 
Result so far: 1558.0
The remainder is 59 after subtracting 488 from 547.
Append the next digit (1) from the dividend to 59 and continue with: 591 / 61

Let's proceed to step 6:
When dividing 591 by 61, we get 9 with a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 15589.0
Deduct 549 from 591 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
420 divided by 61 is 6 with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 15589.6
The remainder is 54 after subtracting 366 from 420.
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:
61 goes into 540 8 times with a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 15589.68
The remainder is 52 after subtracting 488 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
61 can be fit into 520 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 15589.688
If we take 488 away from 520, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Our division results in 15589.688 with a remaining 0.0032.