We're dividing 906977 by 87 
We're looking to find how many times 87 goes into 906977.

Let's proceed to step 1:
If we divide 9 by 87, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 87

Moving on to step 2:
87 can be fit into 90 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 87 from 90 and we're left with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 87

Step 3:
87 can be fit into 36 0 times, resulting in a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 36 to get 36.
Bring next digit (9) of the dividend behind the 36 and repeat the process: 369 / 87

Let's proceed to step 4:
If we divide 369 by 87, we get 4 and a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 104.0
If we take 348 away from 369, we end up with 21.
Grab the next digit (7) from the dividend, add it to 21, then carry on: 217 / 87

Moving on to step 5:
87 goes into 217 2 times with a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 1042.0
If we take 174 away from 217, we end up with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 87

On to step 6:
87 can be fit into 437 5 times, resulting in a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 10425.0
Subtract 435 from 437 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 87, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10425.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 87, we get 2 and a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 10425.02
Deduct 174 from 200 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 9:
If we divide 260 by 87, we get 2 and a remainder of 86.
Write down 2 as next digit of the result. 
Result so far: 10425.022
Deduct 174 from 260 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

After the division, we end up with 10425.022 and a remainder of 0.0086.