877609 ÷ 75 
Our goal is to divide 877609 by 75.

Let's proceed to step 1:
75 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 75

On to step 2:
The number 75 fits into 87 1 times, leaving a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 75 away from 87, we end up with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 75

Advancing to step 3:
The number 75 fits into 127 1 times, leaving a remainder of 52.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 52 after subtracting 75 from 127.
Grab the next digit (6) from the dividend, add it to 52, then carry on: 526 / 75

Step 4:
75 goes into 526 7 times with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 117.0
If we take 525 away from 526, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 75

Step 5:
75 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1170.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 75

On to step 6:
When dividing 109 by 75, we get 1 with a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 11701.0
Subtract 75 from 109 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
75 goes into 340 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 11701.4
If we take 300 away from 340, we end up 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.

Advancing to step 8:
When dividing 400 by 75, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 11701.45
If we take 375 away from 400, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 11701.453
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
250 divided by 75 is 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 11701.4533
Deduct 225 from 250 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 11701.4533 and a remainder of 0.00025.