We divide 456901 by 34
Our goal is to divide 456901 by 34.

Let's proceed to step 1:
The number 34 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 34

Let's proceed to step 2:
34 goes into 45 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 11 after subtracting 34 from 45.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 34

Step 3:
The number 34 fits into 116 3 times, leaving a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 102 from 116 to get 14.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 34

Advancing to step 4:
149 divided by 34 is 4 with a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 134.0
Deduct 136 from 149 and we're left with 13.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 34

Step 5:
The number 34 fits into 130 3 times, leaving a remainder of 28.
The next digit of our result is 3. 
Result so far: 1343.0
If we take 102 away from 130, we end up with 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 34

Advancing to step 6:
281 divided by 34 is 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 13438.0
If we take 272 away from 281, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
90 divided by 34 is 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 13438.2
If we take 68 away from 90, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
34 goes into 220 6 times with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 13438.26
Subtracting 204 from 220 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
The number 34 fits into 160 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 13438.264
If we take 136 away from 160, 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.

Let's proceed to step 10:
34 can be fit into 240 7 times, resulting in a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 13438.2647
The remainder is 2 after subtracting 238 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
34 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 13438.2647
Subtract 0 from 20 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.

On to step 12:
When dividing 200 by 34, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 13438.264705
Subtracting 170 from 200 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
300 divided by 34 is 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 13438.2647058
If we subtract 272 from 300, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 14:
34 goes into 280 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 13438.26470588
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 13438.26470588, and the remainder is 8e-09.