We divide 102161 by 46
We're looking to find how many times 46 goes into 102161.

Step 1:
When dividing 1 by 46, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 46

Going ahead to step 2:
When dividing 10 by 46, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 46

Moving on to step 3:
The number 46 fits into 102 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 92 from 102 to get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 46

Advancing to step 4:
46 can be fit into 101 2 times, resulting in a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 9 after subtracting 92 from 101.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 46

Advancing to step 5:
When dividing 96 by 46, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 222.0
Subtracting 92 from 96 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 46

Going ahead to step 6:
If we divide 41 by 46, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 2220.0
Subtracting 0 from 41 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
If we divide 410 by 46, we get 8 and a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 2220.8
Subtracting 368 from 410 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.

On to step 8:
If we divide 420 by 46, we get 9 and a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 2220.89
If we take 414 away from 420, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
If we divide 60 by 46, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 2220.891
Deduct 46 from 60 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
46 can be fit into 140 3 times, resulting in a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 2220.8913
If we take 138 away from 140, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
46 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2220.8913
Subtracting 0 from 20 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.

Moving on to step 12:
The number 46 fits into 200 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 2220.891304
If we subtract 184 from 200, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 13:
The number 46 fits into 160 3 times, leaving a remainder of 22.
Record the quotient 3 as the next digit in the result. 
Result so far: 2220.8913043
Subtracting 138 from 160 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 14:
If we divide 220 by 46, we get 4 and a remainder of 36.
The next digit of our result is 4. 
Result so far: 2220.89130434
Subtract 184 from 220 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 2220.89130434 with a remaining 3.6e-08.