Let's divide 516969 by 87
We're looking to find how many times 87 goes into 516969.

Going ahead to step 1:
If we divide 5 by 87, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 87

On to step 2:
If we divide 51 by 87, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 87

Going ahead to step 3:
When dividing 516 by 87, we get 5 with a remainder of 81.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 435 from 516, we get 81.
Grab the next digit (9) from the dividend, add it to 81, then carry on: 819 / 87

Going ahead to step 4:
87 goes into 819 9 times with a remainder of 36.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
Subtracting 783 from 819 leaves us with 36.
Take the next digit (6) from the dividend and append it to 36, then repeat: 366 / 87

Let's proceed to step 5:
If we divide 366 by 87, we get 4 and a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 594.0
Subtracting 348 from 366 leaves us with 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 87

Moving on to step 6:
189 divided by 87 is 2 with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 5942.0
Subtract 174 from 189 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 7:
The number 87 fits into 150 1 times, leaving a remainder of 63.
Write down 1 as next digit of the result. 
Result so far: 5942.1
Deduct 87 from 150 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 8:
87 goes into 630 7 times with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 5942.17
Deduct 609 from 630 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
87 goes into 210 2 times with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 5942.172
Subtract 174 from 210 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
87 can be fit into 360 4 times, resulting in a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 5942.1724
If we take 348 away from 360, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
87 goes into 120 1 times with a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 5942.17241
If we take 87 away from 120, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 12:
330 divided by 87 is 3 with a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 5942.172413
Deduct 261 from 330 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 13:
If we divide 690 by 87, we get 7 and a remainder of 81.
Use 7 as the next digit of our solution. 
Result so far: 5942.1724137
If we take 609 away from 690, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 14:
When dividing 810 by 87, we get 9 with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 5942.17241379
If we take 783 away from 810, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The quotient of the division is 5942.17241379, and the remainder is 2.7e-08.