We're dividing 13419583 by 646 
We want to divide 13419583 by 646.

Moving on to step 1:
The number 646 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 646

Going ahead to step 2:
646 can be fit into 13 0 times, resulting in a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (4) of the dividend behind the 13 and repeat the process: 134 / 646

Going ahead to step 3:
646 goes into 134 0 times with a remainder of 134.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 134 leaves us with 134.
Fetch the next digit (1) from the dividend, attach it to 134 and continue: 1341 / 646

Step 4:
The number 646 fits into 1341 2 times, leaving a remainder of 49.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 1292 away from 1341, we end up with 49.
Append the next digit (9) from the dividend to 49 and continue with: 499 / 646

Going ahead to step 5:
The number 646 fits into 499 0 times, leaving a remainder of 499.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we subtract 0 from 499, we get 499.
Fetch the next digit (5) from the dividend, attach it to 499 and continue: 4995 / 646

Moving on to step 6:
646 goes into 4995 7 times with a remainder of 473.
The next digit of our result is 7. 
Result so far: 207.0
Deduct 4522 from 4995 and we're left with 473.
Append the next digit (8) from the dividend to 473 and continue with: 4738 / 646

Going ahead to step 7:
4738 divided by 646 is 7 with a remainder of 216.
Record the quotient 7 as the next digit in the result. 
Result so far: 2077.0
Subtracting 4522 from 4738 leaves us with 216.
Fetch the next digit (3) from the dividend, attach it to 216 and continue: 2163 / 646

Step 8:
646 goes into 2163 3 times with a remainder of 225.
Write down 3 as next digit of the result. 
Result so far: 20773.0
If we take 1938 away from 2163, we end up with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Moving on to step 9:
2250 divided by 646 is 3 with a remainder of 312.
Put 3 as the next digit of the answer. 
Result so far: 20773.3
Deduct 1938 from 2250 and we're left with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Advancing to step 10:
646 goes into 3120 4 times with a remainder of 536.
Put 4 as the next digit of the answer. 
Result so far: 20773.34
Subtract 2584 from 3120 to get 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Let's proceed to step 11:
When dividing 5360 by 646, we get 8 with a remainder of 192.
Write down 8 as next digit of the result. 
Result so far: 20773.348
If we subtract 5168 from 5360, we get 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Advancing to step 12:
The number 646 fits into 1920 2 times, leaving a remainder of 628.
Put 2 as the next digit of the answer. 
Result so far: 20773.3482
Deduct 1292 from 1920 and we're left with 628.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6280, and continue the process.

Let's proceed to step 13:
When dividing 6280 by 646, we get 9 with a remainder of 466.
The next digit of our result is 9. 
Result so far: 20773.34829
Deduct 5814 from 6280 and we're left with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Advancing to step 14:
646 goes into 4660 7 times with a remainder of 138.
The number 7 becomes the next digit in our result. 
Result so far: 20773.348297
Subtract 4522 from 4660 to get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Going ahead to step 15:
If we divide 1380 by 646, we get 2 and a remainder of 88.
The next digit of our result is 2. 
Result so far: 20773.3482972
Subtracting 1292 from 1380 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 16:
If we divide 880 by 646, we get 1 and a remainder of 234.
The number 1 becomes the next digit in our result. 
Result so far: 20773.34829721
Deduct 646 from 880 and we're left with 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

The quotient of the division is 20773.34829721, and the remainder is 2.34e-07.