153341 divided by 34 
We're looking to find how many times 34 goes into 153341.

Step 1:
The number 34 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 34

Moving on to step 2:
15 divided by 34 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 34

Advancing to step 3:
If we divide 153 by 34, we get 4 and a remainder of 17.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 136 from 153 to get 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 34

Let's proceed to step 4:
173 divided by 34 is 5 with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtracting 170 from 173 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 34

Let's proceed to step 5:
If we divide 34 by 34, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 451.0
Deduct 34 from 34 and we're left with 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 34

Step 6:
34 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 4510.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
If we divide 10 by 34, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4510.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
34 can be fit into 100 2 times, resulting in a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 4510.02
Subtracting 68 from 100 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 4510.029
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
The number 34 fits into 140 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 4510.0294
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
34 goes into 40 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 4510.02941
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
60 divided by 34 is 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 4510.029411
Deduct 34 from 60 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 4510.029411 with a remainder of 2.6e-06.