10228241 ÷ 646 
Our goal is to divide 10228241 by 646.

On to step 1:
1 divided by 646 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 646

Going ahead to step 2:
10 divided by 646 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 646

Moving on to step 3:
If we divide 102 by 646, we get 0 and a remainder of 102.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 102 after subtracting 0 from 102.
Take the next digit (2) from the dividend and append it to 102, then repeat: 1022 / 646

On to step 4:
646 goes into 1022 1 times with a remainder of 376.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 646 from 1022, we get 376.
Append the next digit (8) from the dividend to 376 and continue with: 3768 / 646

Going ahead to step 5:
3768 divided by 646 is 5 with a remainder of 538.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtract 3230 from 3768 to get 538.
Take the next digit (2) from the dividend and append it to 538, then repeat: 5382 / 646

Going ahead to step 6:
If we divide 5382 by 646, we get 8 and a remainder of 214.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
Deduct 5168 from 5382 and we're left with 214.
Grab the next digit (4) from the dividend, add it to 214, then carry on: 2144 / 646

Let's proceed to step 7:
When dividing 2144 by 646, we get 3 with a remainder of 206.
The next digit of our result is 3. 
Result so far: 1583.0
The remainder is 206 after subtracting 1938 from 2144.
Grab the next digit (1) from the dividend, add it to 206, then carry on: 2061 / 646

Going ahead to step 8:
646 can be fit into 2061 3 times, resulting in a remainder of 123.
Write down 3 as next digit of the result. 
Result so far: 15833.0
If we subtract 1938 from 2061, we get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

Advancing to step 9:
646 goes into 1230 1 times with a remainder of 584.
The next digit of our result is 1. 
Result so far: 15833.1
The remainder is 584 after subtracting 646 from 1230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Moving on to step 10:
646 goes into 5840 9 times with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 15833.19
The remainder is 26 after subtracting 5814 from 5840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
260 divided by 646 is 0 with a remainder of 260.
Record the quotient 0 as the next digit in the result. 
Result so far: 15833.19
Subtracting 0 from 260 leaves us with 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2600, and continue the process.

On to step 12:
When dividing 2600 by 646, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 15833.1904
Subtracting 2584 from 2600 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
If we divide 160 by 646, we get 0 and a remainder of 160.
The number 0 becomes the next digit in our result. 
Result so far: 15833.1904
Subtract 0 from 160 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Moving on to step 14:
The number 646 fits into 1600 2 times, leaving a remainder of 308.
The number 2 becomes the next digit in our result. 
Result so far: 15833.190402
The remainder is 308 after subtracting 1292 from 1600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Step 15:
646 can be fit into 3080 4 times, resulting in a remainder of 496.
The next digit of our result is 4. 
Result so far: 15833.1904024
If we take 2584 away from 3080, we end up with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Step 16:
646 goes into 4960 7 times with a remainder of 438.
Record the quotient 7 as the next digit in the result. 
Result so far: 15833.19040247
The remainder is 438 after subtracting 4522 from 4960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

The final result is 15833.19040247 with a remainder of 4.38e-07.