We're dividing 8524955 by 129 
Let's see how many times 129 fits into 8524955.

Going ahead to step 1:
129 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 129

Advancing to step 2:
If we divide 85 by 129, we get 0 and a remainder of 85.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 85 to get 85.
Bring next digit (2) of the dividend behind the 85 and repeat the process: 852 / 129

On to step 3:
The number 129 fits into 852 6 times, leaving a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 774 from 852, we get 78.
Bring next digit (4) of the dividend behind the 78 and repeat the process: 784 / 129

Moving on to step 4:
129 goes into 784 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
Subtract 774 from 784 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 129

Moving on to step 5:
If we divide 109 by 129, we get 0 and a remainder of 109.
Write down 0 as next digit of the result. 
Result so far: 660.0
If we subtract 0 from 109, we get 109.
Grab the next digit (5) from the dividend, add it to 109, then carry on: 1095 / 129

Moving on to step 6:
If we divide 1095 by 129, we get 8 and a remainder of 63.
Use 8 as the next digit of our solution. 
Result so far: 6608.0
Deduct 1032 from 1095 and we're left with 63.
Append the next digit (5) from the dividend to 63 and continue with: 635 / 129

On to step 7:
129 goes into 635 4 times with a remainder of 119.
Use 4 as the next digit of our solution. 
Result so far: 66084.0
Subtracting 516 from 635 leaves us with 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

Advancing to step 8:
When dividing 1190 by 129, we get 9 with a remainder of 29.
The next digit of our result is 9. 
Result so far: 66084.9
Subtract 1161 from 1190 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
When dividing 290 by 129, we get 2 with a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 66084.92
Subtracting 258 from 290 leaves us 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.

Let's proceed to step 10:
The number 129 fits into 320 2 times, leaving a remainder of 62.
Put 2 as the next digit of the answer. 
Result so far: 66084.922
The remainder is 62 after subtracting 258 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

After the division, we end up with 66084.922 and a remainder of 0.0062.