333434 ÷ 44 
Our goal is to divide 333434 by 44.

Step 1:
3 divided by 44 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 44

Step 2:
The number 44 fits into 33 0 times, leaving a remainder of 33.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 44

Going ahead to step 3:
When dividing 333 by 44, we get 7 with a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 308 from 333, we get 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 44

Moving on to step 4:
44 goes into 254 5 times with a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 75.0
Subtracting 220 from 254 leaves us with 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 44

Going ahead to step 5:
44 goes into 343 7 times with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 757.0
If we subtract 308 from 343, we get 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 44

Advancing to step 6:
If we divide 354 by 44, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 7578.0
If we subtract 352 from 354, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
44 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 7578.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
When dividing 200 by 44, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 7578.04
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
If we divide 240 by 44, we get 5 and a remainder of 20.
The next digit of our result is 5. 
Result so far: 7578.045
The remainder is 20 after subtracting 220 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
The number 44 fits into 200 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 7578.0454
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
44 can be fit into 240 5 times, resulting in a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 7578.04545
Subtract 220 from 240 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
44 goes into 200 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 7578.045454
Subtracting 176 from 200 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 13:
44 goes into 240 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 7578.0454545
Subtract 220 from 240 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
If we divide 200 by 44, we get 4 and a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 7578.04545454
Subtract 176 from 200 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Our division results in 7578.04545454 with a remaining 2.4e-08.