741965 ÷ 87 
Let's see how many times 87 fits into 741965.

On to step 1:
If we divide 7 by 87, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 87

Going ahead to step 2:
87 goes into 74 0 times with a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Include the next digit (1) from the dividend after 74, then repeat: 741 / 87

Moving on to step 3:
87 can be fit into 741 8 times, resulting in a remainder of 45.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 696 from 741 leaves us with 45.
Fetch the next digit (9) from the dividend, attach it to 45 and continue: 459 / 87

Advancing to step 4:
87 goes into 459 5 times with a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 85.0
Subtracting 435 from 459 leaves us with 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 87

Step 5:
246 divided by 87 is 2 with a remainder of 72.
Put 2 as the next digit of the answer. 
Result so far: 852.0
Subtract 174 from 246 to get 72.
Grab the next digit (5) from the dividend, add it to 72, then carry on: 725 / 87

On to step 6:
When dividing 725 by 87, we get 8 with a remainder of 29.
The next digit of our result is 8. 
Result so far: 8528.0
Deduct 696 from 725 and we're left with 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 7:
87 can be fit into 290 3 times, resulting in a remainder of 29.
Record the quotient 3 as the next digit in the result. 
Result so far: 8528.3
If we subtract 261 from 290, we 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.

Going ahead to step 8:
The number 87 fits into 290 3 times, leaving a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 8528.33
Deduct 261 from 290 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 8528.33 with a remainder of 0.029.