101673 ÷ 35 
We're looking to find how many times 35 goes into 101673.

Moving on to step 1:
The number 35 fits into 1 0 times, leaving 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 (0) from the dividend, add it to 1, then carry on: 10 / 35

Step 2:
10 divided by 35 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 35

On to step 3:
101 divided by 35 is 2 with a remainder of 31.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 70 from 101, we get 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 35

Moving on to step 4:
35 goes into 316 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 29.0
If we subtract 315 from 316, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 35

Moving on to step 5:
If we divide 17 by 35, we get 0 and a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 290.0
Subtract 0 from 17 to get 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 35

Advancing to step 6:
When dividing 173 by 35, we get 4 with a remainder of 33.
Write down 4 as next digit of the result. 
Result so far: 2904.0
Deduct 140 from 173 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
330 divided by 35 is 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2904.9
If we subtract 315 from 330, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
When dividing 150 by 35, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 2904.94
If we take 140 away from 150, 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.

Moving on to step 9:
When dividing 100 by 35, we get 2 with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 2904.942
Deduct 70 from 100 and we're left 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 10:
When dividing 300 by 35, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 2904.9428
If we subtract 280 from 300, we 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.

Going ahead to step 11:
When dividing 200 by 35, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2904.94285
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.

Moving on to step 12:
When dividing 250 by 35, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 2904.942857
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.

Advancing to step 13:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 2904.9428571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 14:
35 goes into 150 4 times with a remainder of 10.
The next digit of our result is 4. 
Result so far: 2904.94285714
If we take 140 away from 150, 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.

Our division results in 2904.94285714 with a remaining 1e-08.