603261 divided by 87 
We're looking to find how many times 87 goes into 603261.

Step 1:
87 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 87

Advancing to step 2:
87 goes into 60 0 times with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 60, we end up with 60.
Include the next digit (3) from the dividend after 60, then repeat: 603 / 87

Advancing to step 3:
The number 87 fits into 603 6 times, leaving a remainder of 81.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 522 from 603 and we're left with 81.
Include the next digit (2) from the dividend after 81, then repeat: 812 / 87

Advancing to step 4:
When dividing 812 by 87, we get 9 with a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtract 783 from 812 to get 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 87

On to step 5:
If we divide 296 by 87, we get 3 and a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 693.0
Subtract 261 from 296 to get 35.
Fetch the next digit (1) from the dividend, attach it to 35 and continue: 351 / 87

Let's proceed to step 6:
The number 87 fits into 351 4 times, leaving a remainder of 3.
The next digit of our result is 4. 
Result so far: 6934.0
Subtract 348 from 351 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
30 divided by 87 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 6934.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
If we divide 300 by 87, we get 3 and a remainder of 39.
Write down 3 as next digit of the result. 
Result so far: 6934.03
If we take 261 away from 300, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
390 divided by 87 is 4 with a remainder of 42.
The next digit of our result is 4. 
Result so far: 6934.034
If we take 348 away from 390, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 10:
If we divide 420 by 87, we get 4 and a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 6934.0344
Deduct 348 from 420 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 6934.0344 with a balance of 0.00072.