6518213 ÷ 106 
Let's see how many times 106 fits into 6518213.

Step 1:
When dividing 6 by 106, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 106

On to step 2:
106 can be fit into 65 0 times, resulting in a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Bring next digit (1) of the dividend behind the 65 and repeat the process: 651 / 106

Step 3:
The number 106 fits into 651 6 times, leaving a remainder of 15.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 15 after subtracting 636 from 651.
Append the next digit (8) from the dividend to 15 and continue with: 158 / 106

On to step 4:
If we divide 158 by 106, we get 1 and a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 61.0
If we take 106 away from 158, we end up with 52.
Append the next digit (2) from the dividend to 52 and continue with: 522 / 106

Step 5:
When dividing 522 by 106, we get 4 with a remainder of 98.
Record the quotient 4 as the next digit in the result. 
Result so far: 614.0
The remainder is 98 after subtracting 424 from 522.
Take the next digit (1) from the dividend and append it to 98, then repeat: 981 / 106

Let's proceed to step 6:
981 divided by 106 is 9 with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 6149.0
The remainder is 27 after subtracting 954 from 981.
Bring next digit (3) of the dividend behind the 27 and repeat the process: 273 / 106

Let's proceed to step 7:
When dividing 273 by 106, we get 2 with a remainder of 61.
Record the quotient 2 as the next digit in the result. 
Result so far: 61492.0
Subtracting 212 from 273 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 8:
The number 106 fits into 610 5 times, leaving a remainder of 80.
Write down 5 as next digit of the result. 
Result so far: 61492.5
The remainder is 80 after subtracting 530 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
800 divided by 106 is 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 61492.57
Subtract 742 from 800 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 10:
When dividing 580 by 106, we get 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 61492.575
If we subtract 530 from 580, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
If we divide 500 by 106, we get 4 and a remainder of 76.
The number 4 becomes the next digit in our result. 
Result so far: 61492.5754
If we take 424 away from 500, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 12:
The number 106 fits into 760 7 times, leaving a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 61492.57547
The remainder is 18 after subtracting 742 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 13:
106 can be fit into 180 1 times, resulting in a remainder of 74.
Record the quotient 1 as the next digit in the result. 
Result so far: 61492.575471
Deduct 106 from 180 and we're left with 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 14:
106 can be fit into 740 6 times, resulting in a remainder of 104.
Write down 6 as next digit of the result. 
Result so far: 61492.5754716
Deduct 636 from 740 and we're left with 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Moving on to step 15:
106 can be fit into 1040 9 times, resulting in a remainder of 86.
Use 9 as the next digit of our solution. 
Result so far: 61492.57547169
If we subtract 954 from 1040, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

In conclusion, the division gives 61492.57547169 with a balance of 8.6e-08.