We're dividing 33405987 by 953 
Our goal is to divide 33405987 by 953.

Let's proceed to step 1:
953 can be fit into 3 0 times, resulting in 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.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 953

Advancing to step 2:
953 goes into 33 0 times with a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 33 to get 33.
Fetch the next digit (4) from the dividend, attach it to 33 and continue: 334 / 953

On to step 3:
The number 953 fits into 334 0 times, leaving a remainder of 334.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 334 to get 334.
Bring next digit (0) of the dividend behind the 334 and repeat the process: 3340 / 953

Going ahead to step 4:
If we divide 3340 by 953, we get 3 and a remainder of 481.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 481 after subtracting 2859 from 3340.
Grab the next digit (5) from the dividend, add it to 481, then carry on: 4815 / 953

Moving on to step 5:
The number 953 fits into 4815 5 times, leaving a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 35.0
If we take 4765 away from 4815, we end up with 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 953

On to step 6:
953 can be fit into 509 0 times, resulting in a remainder of 509.
The next digit of our result is 0. 
Result so far: 350.0
The remainder is 509 after subtracting 0 from 509.
Bring next digit (8) of the dividend behind the 509 and repeat the process: 5098 / 953

Step 7:
953 goes into 5098 5 times with a remainder of 333.
The number 5 becomes the next digit in our result. 
Result so far: 3505.0
The remainder is 333 after subtracting 4765 from 5098.
Fetch the next digit (7) from the dividend, attach it to 333 and continue: 3337 / 953

On to step 8:
953 can be fit into 3337 3 times, resulting in a remainder of 478.
Write down 3 as next digit of the result. 
Result so far: 35053.0
Deduct 2859 from 3337 and we're left with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Let's proceed to step 9:
The number 953 fits into 4780 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 35053.5
If we take 4765 away from 4780, 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.

Advancing to step 10:
If we divide 150 by 953, we get 0 and a remainder of 150.
Put 0 as the next digit of the answer. 
Result so far: 35053.5
Subtract 0 from 150 to get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

Moving on to step 11:
1500 divided by 953 is 1 with a remainder of 547.
The next digit of our result is 1. 
Result so far: 35053.501
If we subtract 953 from 1500, we get 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5470, and continue the process.

On to step 12:
When dividing 5470 by 953, we get 5 with a remainder of 705.
Write down 5 as next digit of the result. 
Result so far: 35053.5015
The remainder is 705 after subtracting 4765 from 5470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7050, and continue the process.

Going ahead to step 13:
953 goes into 7050 7 times with a remainder of 379.
Use 7 as the next digit of our solution. 
Result so far: 35053.50157
Subtracting 6671 from 7050 leaves us 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.

Moving on to step 14:
If we divide 3790 by 953, we get 3 and a remainder of 931.
The next digit of our result is 3. 
Result so far: 35053.501573
Subtract 2859 from 3790 to get 931.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9310, and continue the process.

Step 15:
953 goes into 9310 9 times with a remainder of 733.
The next digit of our result is 9. 
Result so far: 35053.5015739
Subtract 8577 from 9310 to get 733.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7330, and continue the process.

Let's proceed to step 16:
953 can be fit into 7330 7 times, resulting in a remainder of 659.
Write down 7 as next digit of the result. 
Result so far: 35053.50157397
Subtract 6671 from 7330 to get 659.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6590, and continue the process.

The final outcome is 35053.50157397, with a leftover of 6.59e-07.