We look at the division of 34214416 by 759 
Our goal is to divide 34214416 by 759.

Moving on to step 1:
When dividing 3 by 759, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 759

Moving on to step 2:
If we divide 34 by 759, we get 0 and a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 759

On to step 3:
When dividing 342 by 759, we get 0 with a remainder of 342.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 342 leaves us with 342.
Bring next digit (1) of the dividend behind the 342 and repeat the process: 3421 / 759

Moving on to step 4:
If we divide 3421 by 759, we get 4 and a remainder of 385.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 3036 from 3421 to get 385.
Include the next digit (4) from the dividend after 385, then repeat: 3854 / 759

Going ahead to step 5:
759 goes into 3854 5 times with a remainder of 59.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtract 3795 from 3854 to get 59.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 759

On to step 6:
594 divided by 759 is 0 with a remainder of 594.
The next digit of our result is 0. 
Result so far: 450.0
Subtracting 0 from 594 leaves us with 594.
Bring next digit (1) of the dividend behind the 594 and repeat the process: 5941 / 759

Advancing to step 7:
The number 759 fits into 5941 7 times, leaving a remainder of 628.
Write down 7 as next digit of the result. 
Result so far: 4507.0
If we take 5313 away from 5941, we end up with 628.
Append the next digit (6) from the dividend to 628 and continue with: 6286 / 759

Let's proceed to step 8:
The number 759 fits into 6286 8 times, leaving a remainder of 214.
Write down 8 as next digit of the result. 
Result so far: 45078.0
If we take 6072 away from 6286, we end up with 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

Let's proceed to step 9:
759 can be fit into 2140 2 times, resulting in a remainder of 622.
Write down 2 as next digit of the result. 
Result so far: 45078.2
Subtract 1518 from 2140 to get 622.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6220, and continue the process.

On to step 10:
The number 759 fits into 6220 8 times, leaving a remainder of 148.
Record the quotient 8 as the next digit in the result. 
Result so far: 45078.28
Subtracting 6072 from 6220 leaves us with 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Let's proceed to step 11:
1480 divided by 759 is 1 with a remainder of 721.
Write down 1 as next digit of the result. 
Result so far: 45078.281
If we subtract 759 from 1480, we get 721.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7210, and continue the process.

Advancing to step 12:
759 can be fit into 7210 9 times, resulting in a remainder of 379.
Record the quotient 9 as the next digit in the result. 
Result so far: 45078.2819
If we take 6831 away from 7210, we end up with 379.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3790, and continue the process.

Going ahead to step 13:
3790 divided by 759 is 4 with a remainder of 754.
The next digit of our result is 4. 
Result so far: 45078.28194
Subtracting 3036 from 3790 leaves us with 754.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7540, and continue the process.

Advancing to step 14:
When dividing 7540 by 759, we get 9 with a remainder of 709.
Use 9 as the next digit of our solution. 
Result so far: 45078.281949
If we take 6831 away from 7540, we end up with 709.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7090, and continue the process.

Advancing to step 15:
7090 divided by 759 is 9 with a remainder of 259.
Record the quotient 9 as the next digit in the result. 
Result so far: 45078.2819499
The remainder is 259 after subtracting 6831 from 7090.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2590, and continue the process.

Our division results in 45078.2819499 with a remaining 2.59e-06.