101600 divided by 22 
We want to figure out the number of times 101600 can be divided by 22.

Step 1:
1 divided by 22 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 22

Step 2:
If we divide 10 by 22, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 22

Step 3:
22 can be fit into 101 4 times, resulting in a remainder of 13.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 13 after subtracting 88 from 101.
Take the next digit (6) from the dividend and append it to 13, then repeat: 136 / 22

Advancing to step 4:
The number 22 fits into 136 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 46.0
Subtract 132 from 136 to get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 22

Let's proceed to step 5:
The number 22 fits into 40 1 times, leaving a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 461.0
The remainder is 18 after subtracting 22 from 40.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 22

Step 6:
When dividing 180 by 22, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 4618.0
Subtract 176 from 180 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
If we divide 40 by 22, we get 1 and a remainder of 18.
The next digit of our result is 1. 
Result so far: 4618.1
The remainder is 18 after subtracting 22 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
When dividing 180 by 22, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 4618.18
Subtracting 176 from 180 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
When dividing 40 by 22, we get 1 with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 4618.181
If we subtract 22 from 40, 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.

On to step 10:
When dividing 180 by 22, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 4618.1818
Deduct 176 from 180 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
When dividing 40 by 22, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 4618.18181
Subtracting 22 from 40 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
The number 22 fits into 180 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 4618.181818
Deduct 176 from 180 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 13:
If we divide 40 by 22, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 4618.1818181
The remainder is 18 after subtracting 22 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
22 can be fit into 180 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 4618.18181818
Deduct 176 from 180 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 4618.18181818, and the remainder is 4e-09.