We look at the division of 13657676 by 419 
We want to figure out the number of times 13657676 can be divided by 419.

Going ahead to step 1:
The number 419 fits into 1 0 times, leaving 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.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 419

Moving on to step 2:
13 divided by 419 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 419

On to step 3:
When dividing 136 by 419, we get 0 with a remainder of 136.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 136 after subtracting 0 from 136.
Include the next digit (5) from the dividend after 136, then repeat: 1365 / 419

On to step 4:
If we divide 1365 by 419, we get 3 and a remainder of 108.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 1257 from 1365 and we're left with 108.
Grab the next digit (7) from the dividend, add it to 108, then carry on: 1087 / 419

Moving on to step 5:
419 goes into 1087 2 times with a remainder of 249.
Put 2 as the next digit of the answer. 
Result so far: 32.0
Subtracting 838 from 1087 leaves us with 249.
Bring next digit (6) of the dividend behind the 249 and repeat the process: 2496 / 419

Step 6:
When dividing 2496 by 419, we get 5 with a remainder of 401.
The next digit of our result is 5. 
Result so far: 325.0
Subtracting 2095 from 2496 leaves us with 401.
Include the next digit (7) from the dividend after 401, then repeat: 4017 / 419

Let's proceed to step 7:
4017 divided by 419 is 9 with a remainder of 246.
Use 9 as the next digit of our solution. 
Result so far: 3259.0
Subtracting 3771 from 4017 leaves us with 246.
Bring next digit (6) of the dividend behind the 246 and repeat the process: 2466 / 419

Moving on to step 8:
419 goes into 2466 5 times with a remainder of 371.
Put 5 as the next digit of the answer. 
Result so far: 32595.0
If we subtract 2095 from 2466, we get 371.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3710, and continue the process.

Step 9:
If we divide 3710 by 419, we get 8 and a remainder of 358.
Put 8 as the next digit of the answer. 
Result so far: 32595.8
Subtract 3352 from 3710 to get 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

On to step 10:
3580 divided by 419 is 8 with a remainder of 228.
Put 8 as the next digit of the answer. 
Result so far: 32595.88
If we take 3352 away from 3580, we end up with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

In conclusion, the division gives 32595.88 with a balance of 0.228.