8627 ÷ 69 
We want to figure out the number of times 8627 can be divided by 69.

Going ahead to step 1:
If we divide 8 by 69, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 69

Step 2:
The number 69 fits into 86 1 times, leaving a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 69 from 86 leaves us with 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 69

Let's proceed to step 3:
172 divided by 69 is 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 34 after subtracting 138 from 172.
Grab the next digit (7) from the dividend, add it to 34, then carry on: 347 / 69

Moving on to step 4:
If we divide 347 by 69, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
If we subtract 345 from 347, we 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 5:
The number 69 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 125.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 6:
If we divide 200 by 69, we get 2 and a remainder of 62.
The next digit of our result is 2. 
Result so far: 125.02
The remainder is 62 after subtracting 138 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 7:
620 divided by 69 is 8 with a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 125.028
If we subtract 552 from 620, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
69 goes into 680 9 times with a remainder of 59.
Write down 9 as next digit of the result. 
Result so far: 125.0289
Subtract 621 from 680 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 9:
69 can be fit into 590 8 times, resulting in a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 125.02898
The remainder is 38 after subtracting 552 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 10:
When dividing 380 by 69, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 125.028985
Subtract 345 from 380 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 11:
If we divide 350 by 69, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 125.0289855
Subtract 345 from 350 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 125.0289855 and a remainder of 5e-08.