43698 ÷ 11 
We're looking to find how many times 11 goes into 43698.

Moving on to step 1:
11 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
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 11

Step 2:
43 divided by 11 is 3 with a remainder of 10.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 33 from 43, we get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 11

Let's proceed to step 3:
When dividing 106 by 11, we get 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 39.0
Subtracting 99 from 106 leaves us with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 11

Step 4:
11 goes into 79 7 times with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 397.0
Subtracting 77 from 79 leaves us with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 11

On to step 5:
11 goes into 28 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 3972.0
Subtracting 22 from 28 leaves us 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.

Step 6:
11 goes into 60 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 3972.5
Deduct 55 from 60 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.

Let's proceed to step 7:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 3972.54
If we take 44 away from 50, 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.

Moving on to step 8:
If we divide 60 by 11, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 3972.545
If we take 55 away from 60, we end up 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.

Moving on to step 9:
11 goes into 50 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 3972.5454
Subtracting 44 from 50 leaves us 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.

Step 10:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3972.54545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 3972.545454
Subtract 44 from 50 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.

Going ahead to step 12:
When dividing 60 by 11, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 3972.5454545
Deduct 55 from 60 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.

Let's proceed to step 13:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 3972.54545454
If we take 44 away from 50, 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.

The final result is 3972.54545454 with a remainder of 6e-09.