We divide 4641 by 46
We want to divide 4641 by 46.

Moving on to step 1:
46 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 46

Moving on to step 2:
46 can be fit into 46 1 times, resulting in a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 46 from 46 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 46

Going ahead to step 3:
46 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 46

Let's proceed to step 4:
46 goes into 41 0 times with a remainder of 41.
The next digit of our result is 0. 
Result so far: 100.0
Subtract 0 from 41 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 5:
The number 46 fits into 410 8 times, leaving a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 100.8
Deduct 368 from 410 and we're left 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.

Advancing to step 6:
The number 46 fits into 420 9 times, leaving a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 100.89
Subtract 414 from 420 to get 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 7:
When dividing 60 by 46, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 100.891
Subtracting 46 from 60 leaves us 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.

On to step 8:
46 goes into 140 3 times with a remainder of 2.
The next digit of our result is 3. 
Result so far: 100.8913
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.

Step 9:
46 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 100.8913
If we subtract 0 from 20, 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.

Moving on to step 10:
200 divided by 46 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 100.891304
Subtract 184 from 200 to 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.

Advancing to step 11:
160 divided by 46 is 3 with a remainder of 22.
Write down 3 as next digit of the result. 
Result so far: 100.8913043
Deduct 138 from 160 and we're left 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.

Going ahead to step 12:
220 divided by 46 is 4 with a remainder of 36.
The next digit of our result is 4. 
Result so far: 100.89130434
If we subtract 184 from 220, we 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 100.89130434 with a remaining 3.6e-08.