We're dividing 181002 by 35 
We're looking to find how many times 35 goes into 181002.

Advancing to step 1:
The number 35 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
If we take 0 away from 1, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 35

On to step 2:
35 can be fit into 18 0 times, resulting in a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 35

Going ahead to step 3:
If we divide 181 by 35, we get 5 and a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 175 from 181 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 35

Advancing to step 4:
When dividing 60 by 35, we get 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 51.0
Subtracting 35 from 60 leaves us with 25.
Grab the next digit (0) from the dividend, add it to 25, then carry on: 250 / 35

On to step 5:
If we divide 250 by 35, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 517.0
Subtracting 245 from 250 leaves us with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 35

Going ahead to step 6:
35 can be fit into 52 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 5171.0
If we subtract 35 from 52, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
The number 35 fits into 170 4 times, leaving a remainder of 30.
The next digit of our result is 4. 
Result so far: 5171.4
The remainder is 30 after subtracting 140 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The next digit of our result is 8. 
Result so far: 5171.48
Subtract 280 from 300 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.

Advancing to step 9:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 5171.485
If we take 175 away from 200, we end up 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.

Advancing to step 10:
When dividing 250 by 35, we get 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 5171.4857
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 11:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 5171.48571
Deduct 35 from 50 and we're left 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.

Step 12:
150 divided by 35 is 4 with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 5171.485714
If we subtract 140 from 150, we 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.

Advancing to step 13:
35 goes into 100 2 times with a remainder of 30.
The next digit of our result is 2. 
Result so far: 5171.4857142
Subtracting 70 from 100 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.

Let's proceed to step 14:
300 divided by 35 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 5171.48571428
Subtract 280 from 300 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.

The final outcome is 5171.48571428, with a leftover of 2e-08.