We look at the division of 541974 by 87 
We want to figure out the number of times 541974 can be divided by 87.

Advancing to step 1:
The number 87 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 87

Step 2:
When dividing 54 by 87, we get 0 with a remainder of 54.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Include the next digit (1) from the dividend after 54, then repeat: 541 / 87

Moving on to step 3:
541 divided by 87 is 6 with a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 19 after subtracting 522 from 541.
Fetch the next digit (9) from the dividend, attach it to 19 and continue: 199 / 87

Advancing to step 4:
87 goes into 199 2 times with a remainder of 25.
Record the quotient 2 as the next digit in the result. 
Result so far: 62.0
Subtract 174 from 199 to get 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 87

On to step 5:
If we divide 257 by 87, we get 2 and a remainder of 83.
Put 2 as the next digit of the answer. 
Result so far: 622.0
If we take 174 away from 257, we end up with 83.
Include the next digit (4) from the dividend after 83, then repeat: 834 / 87

Going ahead to step 6:
87 can be fit into 834 9 times, resulting in a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 6229.0
If we take 783 away from 834, we end up 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.

Moving on to step 7:
87 can be fit into 510 5 times, resulting in a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 6229.5
If we subtract 435 from 510, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 8:
750 divided by 87 is 8 with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 6229.58
Subtract 696 from 750 to 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.

Step 9:
If we divide 540 by 87, we get 6 and a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 6229.586
If we take 522 away from 540, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
The number 87 fits into 180 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 6229.5862
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.

Advancing to step 11:
When dividing 60 by 87, we get 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 6229.5862
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 12:
600 divided by 87 is 6 with a remainder of 78.
The next digit of our result is 6. 
Result so far: 6229.586206
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 13:
If we divide 780 by 87, we get 8 and a remainder of 84.
The next digit of our result is 8. 
Result so far: 6229.5862068
Deduct 696 from 780 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 14:
If we divide 840 by 87, we get 9 and a remainder of 57.
The number 9 becomes the next digit in our result. 
Result so far: 6229.58620689
Subtract 783 from 840 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 6229.58620689 and a remainder of 5.7e-08.