We look at the division of 45154311 by 419 
Our goal is to divide 45154311 by 419.

Step 1:
4 divided by 419 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 419

Let's proceed to step 2:
When dividing 45 by 419, we get 0 with a remainder of 45.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Grab the next digit (1) from the dividend, add it to 45, then carry on: 451 / 419

Going ahead to step 3:
451 divided by 419 is 1 with a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 419 from 451, we get 32.
Include the next digit (5) from the dividend after 32, then repeat: 325 / 419

Moving on to step 4:
When dividing 325 by 419, we get 0 with a remainder of 325.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 325 to get 325.
Grab the next digit (4) from the dividend, add it to 325, then carry on: 3254 / 419

Moving on to step 5:
419 goes into 3254 7 times with a remainder of 321.
Use 7 as the next digit of our solution. 
Result so far: 107.0
Subtract 2933 from 3254 to get 321.
Fetch the next digit (3) from the dividend, attach it to 321 and continue: 3213 / 419

Step 6:
3213 divided by 419 is 7 with a remainder of 280.
Record the quotient 7 as the next digit in the result. 
Result so far: 1077.0
If we take 2933 away from 3213, we end up with 280.
Fetch the next digit (1) from the dividend, attach it to 280 and continue: 2801 / 419

On to step 7:
If we divide 2801 by 419, we get 6 and a remainder of 287.
Use 6 as the next digit of our solution. 
Result so far: 10776.0
If we subtract 2514 from 2801, we get 287.
Fetch the next digit (1) from the dividend, attach it to 287 and continue: 2871 / 419

Moving on to step 8:
2871 divided by 419 is 6 with a remainder of 357.
The next digit of our result is 6. 
Result so far: 107766.0
The remainder is 357 after subtracting 2514 from 2871.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

Going ahead to step 9:
3570 divided by 419 is 8 with a remainder of 218.
Put 8 as the next digit of the answer. 
Result so far: 107766.8
The remainder is 218 after subtracting 3352 from 3570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Advancing to step 10:
419 can be fit into 2180 5 times, resulting in a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 107766.85
Subtracting 2095 from 2180 leaves us with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 11:
When dividing 850 by 419, we get 2 with a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 107766.852
Deduct 838 from 850 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
419 can be fit into 120 0 times, resulting in a remainder of 120.
Write down 0 as next digit of the result. 
Result so far: 107766.852
If we subtract 0 from 120, we get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Going ahead to step 13:
419 can be fit into 1200 2 times, resulting in a remainder of 362.
The next digit of our result is 2. 
Result so far: 107766.85202
The remainder is 362 after subtracting 838 from 1200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

On to step 14:
If we divide 3620 by 419, we get 8 and a remainder of 268.
Use 8 as the next digit of our solution. 
Result so far: 107766.852028
Deduct 3352 from 3620 and we're left with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Advancing to step 15:
The number 419 fits into 2680 6 times, leaving a remainder of 166.
Put 6 as the next digit of the answer. 
Result so far: 107766.8520286
The remainder is 166 after subtracting 2514 from 2680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Moving on to step 16:
419 goes into 1660 3 times with a remainder of 403.
The number 3 becomes the next digit in our result. 
Result so far: 107766.85202863
Deduct 1257 from 1660 and we're left with 403.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4030, and continue the process.

In conclusion, the division gives 107766.85202863 with a balance of 4.03e-07.