We look at the division of 42231565 by 419 
Our goal is to divide 42231565 by 419.

Going ahead to step 1:
4 divided by 419 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 419

Advancing to step 2:
419 can be fit into 42 0 times, resulting in a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Take the next digit (2) from the dividend and append it to 42, then repeat: 422 / 419

On to step 3:
If we divide 422 by 419, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 3 after subtracting 419 from 422.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 419

Step 4:
If we divide 33 by 419, we get 0 and a remainder of 33.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 33 leaves us with 33.
Fetch the next digit (1) from the dividend, attach it to 33 and continue: 331 / 419

Let's proceed to step 5:
419 goes into 331 0 times with a remainder of 331.
Write down 0 as next digit of the result. 
Result so far: 100.0
If we take 0 away from 331, we end up with 331.
Grab the next digit (5) from the dividend, add it to 331, then carry on: 3315 / 419

Going ahead to step 6:
If we divide 3315 by 419, we get 7 and a remainder of 382.
Write down 7 as next digit of the result. 
Result so far: 1007.0
Subtract 2933 from 3315 to get 382.
Append the next digit (6) from the dividend to 382 and continue with: 3826 / 419

Moving on to step 7:
When dividing 3826 by 419, we get 9 with a remainder of 55.
The next digit of our result is 9. 
Result so far: 10079.0
If we take 3771 away from 3826, we end up with 55.
Include the next digit (5) from the dividend after 55, then repeat: 555 / 419

Going ahead to step 8:
The number 419 fits into 555 1 times, leaving a remainder of 136.
Record the quotient 1 as the next digit in the result. 
Result so far: 100791.0
Subtracting 419 from 555 leaves us with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Moving on to step 9:
419 goes into 1360 3 times with a remainder of 103.
Record the quotient 3 as the next digit in the result. 
Result so far: 100791.3
If we subtract 1257 from 1360, we get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Let's proceed to step 10:
419 can be fit into 1030 2 times, resulting in a remainder of 192.
Use 2 as the next digit of our solution. 
Result so far: 100791.32
Subtracting 838 from 1030 leaves us with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Going ahead to step 11:
1920 divided by 419 is 4 with a remainder of 244.
The next digit of our result is 4. 
Result so far: 100791.324
Deduct 1676 from 1920 and we're left with 244.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2440, and continue the process.

Step 12:
419 goes into 2440 5 times with a remainder of 345.
Put 5 as the next digit of the answer. 
Result so far: 100791.3245
If we subtract 2095 from 2440, we get 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Let's proceed to step 13:
419 can be fit into 3450 8 times, resulting in a remainder of 98.
Use 8 as the next digit of our solution. 
Result so far: 100791.32458
Subtracting 3352 from 3450 leaves us with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Advancing to step 14:
If we divide 980 by 419, we get 2 and a remainder of 142.
Record the quotient 2 as the next digit in the result. 
Result so far: 100791.324582
If we take 838 away from 980, we end up with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

On to step 15:
419 goes into 1420 3 times with a remainder of 163.
The next digit of our result is 3. 
Result so far: 100791.3245823
If we take 1257 away from 1420, we end up with 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Going ahead to step 16:
419 goes into 1630 3 times with a remainder of 373.
Put 3 as the next digit of the answer. 
Result so far: 100791.32458233
Deduct 1257 from 1630 and we're left with 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

After the division, we end up with 100791.32458233 and a remainder of 3.73e-07.