17201878 ÷ 419 
We want to figure out the number of times 17201878 can be divided by 419.

Moving on to step 1:
419 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 419

Advancing to step 2:
If we divide 17 by 419, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 419

Step 3:
When dividing 172 by 419, we get 0 with a remainder of 172.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 172, we end up with 172.
Grab the next digit (0) from the dividend, add it to 172, then carry on: 1720 / 419

Let's proceed to step 4:
The number 419 fits into 1720 4 times, leaving a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 1676 from 1720 to get 44.
Take the next digit (1) from the dividend and append it to 44, then repeat: 441 / 419

Going ahead to step 5:
When dividing 441 by 419, we get 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 41.0
If we take 419 away from 441, we end up with 22.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 419

Going ahead to step 6:
The number 419 fits into 228 0 times, leaving a remainder of 228.
The number 0 becomes the next digit in our result. 
Result so far: 410.0
If we subtract 0 from 228, we get 228.
Bring next digit (7) of the dividend behind the 228 and repeat the process: 2287 / 419

Advancing to step 7:
419 goes into 2287 5 times with a remainder of 192.
The number 5 becomes the next digit in our result. 
Result so far: 4105.0
Deduct 2095 from 2287 and we're left with 192.
Grab the next digit (8) from the dividend, add it to 192, then carry on: 1928 / 419

Let's proceed to step 8:
419 can be fit into 1928 4 times, resulting in a remainder of 252.
Put 4 as the next digit of the answer. 
Result so far: 41054.0
Deduct 1676 from 1928 and we're left with 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Advancing to step 9:
419 goes into 2520 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 41054.6
Deduct 2514 from 2520 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
If we divide 60 by 419, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 41054.6
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
If we divide 600 by 419, we get 1 and a remainder of 181.
The number 1 becomes the next digit in our result. 
Result so far: 41054.601
If we take 419 away from 600, we end up with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Advancing to step 12:
The number 419 fits into 1810 4 times, leaving a remainder of 134.
The next digit of our result is 4. 
Result so far: 41054.6014
The remainder is 134 after subtracting 1676 from 1810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

On to step 13:
If we divide 1340 by 419, we get 3 and a remainder of 83.
The number 3 becomes the next digit in our result. 
Result so far: 41054.60143
Deduct 1257 from 1340 and we're left with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Going ahead to step 14:
If we divide 830 by 419, we get 1 and a remainder of 411.
Use 1 as the next digit of our solution. 
Result so far: 41054.601431
The remainder is 411 after subtracting 419 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4110, and continue the process.

Going ahead to step 15:
If we divide 4110 by 419, we get 9 and a remainder of 339.
Put 9 as the next digit of the answer. 
Result so far: 41054.6014319
Subtract 3771 from 4110 to get 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3390, and continue the process.

Going ahead to step 16:
If we divide 3390 by 419, we get 8 and a remainder of 38.
The next digit of our result is 8. 
Result so far: 41054.60143198
Deduct 3352 from 3390 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 41054.60143198 with a balance of 3.8e-08.