We're dividing 101635 by 46 
We want to divide 101635 by 46.

Moving on to step 1:
If we divide 1 by 46, we get 0 and 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 (0) from the dividend after 1, then repeat: 10 / 46

Advancing to step 2:
The number 46 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 46

Going ahead to step 3:
The number 46 fits into 101 2 times, leaving a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 92 from 101 leaves us with 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 46

On to step 4:
The number 46 fits into 96 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 22.0
Deduct 92 from 96 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 46

Step 5:
The number 46 fits into 43 0 times, leaving a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 220.0
Subtract 0 from 43 to get 43.
Append the next digit (5) from the dividend to 43 and continue with: 435 / 46

Moving on to step 6:
435 divided by 46 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 2209.0
If we subtract 414 from 435, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
If we divide 210 by 46, we get 4 and a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 2209.4
If we take 184 away from 210, we end up 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.

Going ahead to step 8:
260 divided by 46 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 2209.45
If we subtract 230 from 260, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
The number 46 fits into 300 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 2209.456
Subtract 276 from 300 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
46 goes into 240 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 2209.4565
The remainder is 10 after subtracting 230 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
46 can be fit into 100 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 2209.45652
If we subtract 92 from 100, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
80 divided by 46 is 1 with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 2209.456521
Subtract 46 from 80 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
The number 46 fits into 340 7 times, leaving a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 2209.4565217
If we subtract 322 from 340, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
When dividing 180 by 46, we get 3 with a remainder of 42.
The number 3 becomes the next digit in our result. 
Result so far: 2209.45652173
Subtracting 138 from 180 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 2209.45652173 with a remainder of 4.2e-08.