545951 ÷ 87 
Our goal is to divide 545951 by 87.

Going ahead to step 1:
When dividing 5 by 87, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 87

Advancing to step 2:
54 divided by 87 is 0 with a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 54 leaves us with 54.
Take the next digit (5) from the dividend and append it to 54, then repeat: 545 / 87

On to step 3:
87 can be fit into 545 6 times, resulting in a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 522 from 545 to get 23.
Bring next digit (9) of the dividend behind the 23 and repeat the process: 239 / 87

Let's proceed to step 4:
If we divide 239 by 87, we get 2 and a remainder of 65.
Write down 2 as next digit of the result. 
Result so far: 62.0
If we subtract 174 from 239, we get 65.
Fetch the next digit (5) from the dividend, attach it to 65 and continue: 655 / 87

Step 5:
When dividing 655 by 87, we get 7 with a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 627.0
Deduct 609 from 655 and we're left with 46.
Take the next digit (1) from the dividend and append it to 46, then repeat: 461 / 87

Advancing to step 6:
87 can be fit into 461 5 times, resulting in a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 6275.0
Subtracting 435 from 461 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
When dividing 260 by 87, we get 2 with a remainder of 86.
Put 2 as the next digit of the answer. 
Result so far: 6275.2
Subtracting 174 from 260 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 8:
When dividing 860 by 87, we get 9 with a remainder of 77.
Write down 9 as next digit of the result. 
Result so far: 6275.29
Subtracting 783 from 860 leaves us with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 9:
The number 87 fits into 770 8 times, leaving a remainder of 74.
Write down 8 as next digit of the result. 
Result so far: 6275.298
If we subtract 696 from 770, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 10:
The number 87 fits into 740 8 times, leaving a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 6275.2988
Deduct 696 from 740 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The final result is 6275.2988 with a remainder of 0.00044.