Let's divide 6546216 by 581
Our goal is to divide 6546216 by 581.

On to step 1:
When dividing 6 by 581, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 581

Moving on to step 2:
If we divide 65 by 581, we get 0 and a remainder of 65.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Append the next digit (4) from the dividend to 65 and continue with: 654 / 581

On to step 3:
The number 581 fits into 654 1 times, leaving a remainder of 73.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 581 from 654, we get 73.
Bring next digit (6) of the dividend behind the 73 and repeat the process: 736 / 581

Let's proceed to step 4:
If we divide 736 by 581, we get 1 and a remainder of 155.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 581 from 736 to get 155.
Fetch the next digit (2) from the dividend, attach it to 155 and continue: 1552 / 581

Advancing to step 5:
If we divide 1552 by 581, we get 2 and a remainder of 390.
Write down 2 as next digit of the result. 
Result so far: 112.0
Subtract 1162 from 1552 to get 390.
Grab the next digit (1) from the dividend, add it to 390, then carry on: 3901 / 581

Let's proceed to step 6:
581 can be fit into 3901 6 times, resulting in a remainder of 415.
Put 6 as the next digit of the answer. 
Result so far: 1126.0
Subtract 3486 from 3901 to get 415.
Fetch the next digit (6) from the dividend, attach it to 415 and continue: 4156 / 581

Going ahead to step 7:
581 can be fit into 4156 7 times, resulting in a remainder of 89.
The number 7 becomes the next digit in our result. 
Result so far: 11267.0
Deduct 4067 from 4156 and we're left with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Going ahead to step 8:
581 goes into 890 1 times with a remainder of 309.
Record the quotient 1 as the next digit in the result. 
Result so far: 11267.1
Deduct 581 from 890 and we're left with 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Let's proceed to step 9:
3090 divided by 581 is 5 with a remainder of 185.
Record the quotient 5 as the next digit in the result. 
Result so far: 11267.15
If we take 2905 away from 3090, we end up with 185.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1850, and continue the process.

Step 10:
If we divide 1850 by 581, we get 3 and a remainder of 107.
Record the quotient 3 as the next digit in the result. 
Result so far: 11267.153
Deduct 1743 from 1850 and we're left with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Advancing to step 11:
The number 581 fits into 1070 1 times, leaving a remainder of 489.
Write down 1 as next digit of the result. 
Result so far: 11267.1531
Subtract 581 from 1070 to get 489.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4890, and continue the process.

Going ahead to step 12:
581 can be fit into 4890 8 times, resulting in a remainder of 242.
The number 8 becomes the next digit in our result. 
Result so far: 11267.15318
The remainder is 242 after subtracting 4648 from 4890.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2420, and continue the process.

Moving on to step 13:
581 can be fit into 2420 4 times, resulting in a remainder of 96.
The number 4 becomes the next digit in our result. 
Result so far: 11267.153184
If we subtract 2324 from 2420, we get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Step 14:
If we divide 960 by 581, we get 1 and a remainder of 379.
Put 1 as the next digit of the answer. 
Result so far: 11267.1531841
Subtracting 581 from 960 leaves us with 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

On to step 15:
When dividing 3790 by 581, we get 6 with a remainder of 304.
Write down 6 as next digit of the result. 
Result so far: 11267.15318416
Subtracting 3486 from 3790 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

After the division, we end up with 11267.15318416 and a remainder of 3.04e-07.