742437 ÷ 87 
We want to figure out the number of times 742437 can be divided by 87.

Going ahead to step 1:
87 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 87

Going ahead to step 2:
74 divided by 87 is 0 with a remainder of 74.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 74, we get 74.
Include the next digit (2) from the dividend after 74, then repeat: 742 / 87

Advancing to step 3:
742 divided by 87 is 8 with a remainder of 46.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 696 from 742, we get 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 87

Moving on to step 4:
When dividing 464 by 87, we get 5 with a remainder of 29.
The next digit of our result is 5. 
Result so far: 85.0
If we take 435 away from 464, we end up with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 87

Advancing to step 5:
If we divide 293 by 87, we get 3 and a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 853.0
If we take 261 away from 293, we end up with 32.
Fetch the next digit (7) from the dividend, attach it to 32 and continue: 327 / 87

Going ahead to step 6:
87 can be fit into 327 3 times, resulting in a remainder of 66.
Put 3 as the next digit of the answer. 
Result so far: 8533.0
Subtracting 261 from 327 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 7:
The number 87 fits into 660 7 times, leaving a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 8533.7
Subtracting 609 from 660 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 8:
The number 87 fits into 510 5 times, leaving a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 8533.75
If we take 435 away from 510, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 9:
750 divided by 87 is 8 with a remainder of 54.
Record the quotient 8 as the next digit in the result. 
Result so far: 8533.758
If we subtract 696 from 750, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 10:
When dividing 540 by 87, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 8533.7586
If we subtract 522 from 540, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
If we divide 180 by 87, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 8533.75862
Subtracting 174 from 180 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
87 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8533.75862
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
The number 87 fits into 600 6 times, leaving a remainder of 78.
The next digit of our result is 6. 
Result so far: 8533.7586206
Subtract 522 from 600 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 14:
87 can be fit into 780 8 times, resulting in a remainder of 84.
Use 8 as the next digit of our solution. 
Result so far: 8533.75862068
Subtract 696 from 780 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final result is 8533.75862068 with a remainder of 8.4e-08.