45093419 ÷ 105 
We want to divide 45093419 by 105.

Advancing to step 1:
When dividing 4 by 105, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 105

Step 2:
If we divide 45 by 105, we get 0 and a remainder of 45.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Take the next digit (0) from the dividend and append it to 45, then repeat: 450 / 105

Step 3:
105 goes into 450 4 times with a remainder of 30.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 420 from 450 to get 30.
Grab the next digit (9) from the dividend, add it to 30, then carry on: 309 / 105

Going ahead to step 4:
If we divide 309 by 105, we get 2 and a remainder of 99.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
The remainder is 99 after subtracting 210 from 309.
Grab the next digit (3) from the dividend, add it to 99, then carry on: 993 / 105

Moving on to step 5:
When dividing 993 by 105, we get 9 with a remainder of 48.
The next digit of our result is 9. 
Result so far: 429.0
Subtract 945 from 993 to get 48.
Fetch the next digit (4) from the dividend, attach it to 48 and continue: 484 / 105

Moving on to step 6:
When dividing 484 by 105, we get 4 with a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 4294.0
If we subtract 420 from 484, we get 64.
Take the next digit (1) from the dividend and append it to 64, then repeat: 641 / 105

Moving on to step 7:
105 can be fit into 641 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 42946.0
Subtract 630 from 641 to get 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 105

Moving on to step 8:
The number 105 fits into 119 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 429461.0
The remainder is 14 after subtracting 105 from 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
105 goes into 140 1 times with a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 429461.1
If we take 105 away from 140, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
If we divide 350 by 105, we get 3 and a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 429461.13
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 11:
When dividing 350 by 105, we get 3 with a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 429461.133
The remainder is 35 after subtracting 315 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 429461.133 with a balance of 0.0035.