We're dividing 754181 by 87 
We want to divide 754181 by 87.

Going ahead to step 1:
The number 87 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 87

Let's proceed to step 2:
When dividing 75 by 87, we get 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 75 and we're left with 75.
Bring next digit (4) of the dividend behind the 75 and repeat the process: 754 / 87

Step 3:
The number 87 fits into 754 8 times, leaving a remainder of 58.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 696 from 754 leaves us with 58.
Append the next digit (1) from the dividend to 58 and continue with: 581 / 87

Step 4:
The number 87 fits into 581 6 times, leaving a remainder of 59.
Write down 6 as next digit of the result. 
Result so far: 86.0
The remainder is 59 after subtracting 522 from 581.
Bring next digit (8) of the dividend behind the 59 and repeat the process: 598 / 87

Let's proceed to step 5:
87 goes into 598 6 times with a remainder of 76.
Use 6 as the next digit of our solution. 
Result so far: 866.0
Subtracting 522 from 598 leaves us with 76.
Include the next digit (1) from the dividend after 76, then repeat: 761 / 87

Let's proceed to step 6:
87 goes into 761 8 times with a remainder of 65.
Record the quotient 8 as the next digit in the result. 
Result so far: 8668.0
If we take 696 away from 761, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
87 can be fit into 650 7 times, resulting in a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 8668.7
If we take 609 away from 650, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 8:
If we divide 410 by 87, we get 4 and a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 8668.74
Subtracting 348 from 410 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 9:
87 can be fit into 620 7 times, resulting in a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 8668.747
Subtract 609 from 620 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 10:
87 goes into 110 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 8668.7471
Subtract 87 from 110 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
87 can be fit into 230 2 times, resulting in a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 8668.74712
Subtracting 174 from 230 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 12:
560 divided by 87 is 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 8668.747126
Deduct 522 from 560 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
The number 87 fits into 380 4 times, leaving a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 8668.7471264
Deduct 348 from 380 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
87 can be fit into 320 3 times, resulting in a remainder of 59.
The next digit of our result is 3. 
Result so far: 8668.74712643
Subtracting 261 from 320 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The final outcome is 8668.74712643, with a leftover of 5.9e-08.