We're dividing 2106551 by 646 
We're looking to find how many times 646 goes into 2106551.

Let's proceed to step 1:
The number 646 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 646

Let's proceed to step 2:
If we divide 21 by 646, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Take the next digit (0) from the dividend and append it to 21, then repeat: 210 / 646

Let's proceed to step 3:
646 can be fit into 210 0 times, resulting in a remainder of 210.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 210 after subtracting 0 from 210.
Take the next digit (6) from the dividend and append it to 210, then repeat: 2106 / 646

Let's proceed to step 4:
The number 646 fits into 2106 3 times, leaving a remainder of 168.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 1938 from 2106 to get 168.
Grab the next digit (5) from the dividend, add it to 168, then carry on: 1685 / 646

Let's proceed to step 5:
The number 646 fits into 1685 2 times, leaving a remainder of 393.
Put 2 as the next digit of the answer. 
Result so far: 32.0
If we subtract 1292 from 1685, we get 393.
Grab the next digit (5) from the dividend, add it to 393, then carry on: 3935 / 646

Let's proceed to step 6:
If we divide 3935 by 646, we get 6 and a remainder of 59.
Put 6 as the next digit of the answer. 
Result so far: 326.0
Subtract 3876 from 3935 to get 59.
Include the next digit (1) from the dividend after 59, then repeat: 591 / 646

Let's proceed to step 7:
591 divided by 646 is 0 with a remainder of 591.
Use 0 as the next digit of our solution. 
Result so far: 3260.0
The remainder is 591 after subtracting 0 from 591.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5910, and continue the process.

Moving on to step 8:
If we divide 5910 by 646, we get 9 and a remainder of 96.
The next digit of our result is 9. 
Result so far: 3260.9
Deduct 5814 from 5910 and we're left with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Going ahead to step 9:
When dividing 960 by 646, we get 1 with a remainder of 314.
Write down 1 as next digit of the result. 
Result so far: 3260.91
Deduct 646 from 960 and we're left with 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Step 10:
646 goes into 3140 4 times with a remainder of 556.
The next digit of our result is 4. 
Result so far: 3260.914
Subtract 2584 from 3140 to get 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

Advancing to step 11:
646 can be fit into 5560 8 times, resulting in a remainder of 392.
The next digit of our result is 8. 
Result so far: 3260.9148
Subtracting 5168 from 5560 leaves us with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

On to step 12:
When dividing 3920 by 646, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 3260.91486
Deduct 3876 from 3920 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.

Moving on to step 13:
646 can be fit into 440 0 times, resulting in a remainder of 440.
Record the quotient 0 as the next digit in the result. 
Result so far: 3260.91486
The remainder is 440 after subtracting 0 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Going ahead to step 14:
646 can be fit into 4400 6 times, resulting in a remainder of 524.
Write down 6 as next digit of the result. 
Result so far: 3260.9148606
Subtract 3876 from 4400 to get 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Let's proceed to step 15:
646 can be fit into 5240 8 times, resulting in a remainder of 72.
Write down 8 as next digit of the result. 
Result so far: 3260.91486068
Subtracting 5168 from 5240 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 3260.91486068 with a balance of 7.2e-08.