969876 ÷ 61 
We're looking to find how many times 61 goes into 969876.

On to step 1:
If we divide 9 by 61, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 61

Let's proceed to step 2:
61 goes into 96 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 61 from 96, we get 35.
Grab the next digit (9) from the dividend, add it to 35, then carry on: 359 / 61

On to step 3:
61 can be fit into 359 5 times, resulting in a remainder of 54.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 305 from 359 and we're left with 54.
Fetch the next digit (8) from the dividend, attach it to 54 and continue: 548 / 61

Moving on to step 4:
548 divided by 61 is 8 with a remainder of 60.
Put 8 as the next digit of the answer. 
Result so far: 158.0
If we take 488 away from 548, we end up with 60.
Fetch the next digit (7) from the dividend, attach it to 60 and continue: 607 / 61

On to step 5:
61 can be fit into 607 9 times, resulting in a remainder of 58.
Record the quotient 9 as the next digit in the result. 
Result so far: 1589.0
If we subtract 549 from 607, we get 58.
Take the next digit (6) from the dividend and append it to 58, then repeat: 586 / 61

On to step 6:
If we divide 586 by 61, we get 9 and a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 15899.0
Subtract 549 from 586 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 7:
61 can be fit into 370 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 15899.6
Deduct 366 from 370 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
The number 61 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 15899.6
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
400 divided by 61 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 15899.606
The remainder is 34 after subtracting 366 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 10:
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: 15899.6065
Subtracting 305 from 340 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 15899.60655
The remainder is 45 after subtracting 305 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 15899.60655 with a remainder of 4.5e-05.