151303 ÷ 35 
We're looking to find how many times 35 goes into 151303.

Step 1:
35 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 35

Step 2:
35 goes into 15 0 times with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 35

Moving on to step 3:
35 can be fit into 151 4 times, resulting in a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we take 140 away from 151, we end up with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 35

On to step 4:
When dividing 113 by 35, we get 3 with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we subtract 105 from 113, we get 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 35

Advancing to step 5:
35 can be fit into 80 2 times, resulting in a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 432.0
If we subtract 70 from 80, we get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 35

Going ahead to step 6:
If we divide 103 by 35, we get 2 and a remainder of 33.
Use 2 as the next digit of our solution. 
Result so far: 4322.0
Subtract 70 from 103 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
When dividing 330 by 35, we get 9 with a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 4322.9
If we take 315 away from 330, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 4322.94
Subtract 140 from 150 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 4322.942
If we take 70 away from 100, we end up 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.

Going ahead to step 10:
If we divide 300 by 35, we get 8 and a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 4322.9428
Subtracting 280 from 300 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 11:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 4322.94285
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 12:
The number 35 fits into 250 7 times, leaving a remainder of 5.
The next digit of our result is 7. 
Result so far: 4322.942857
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
35 goes into 50 1 times with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 4322.9428571
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 14:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 4322.94285714
Subtracting 140 from 150 leaves us 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.

The final result is 4322.94285714 with a remainder of 1e-08.