The image above is of what you should have done, but I'll talk you through it.
First, 22 does not go into 7, so you place a 0 and carry the 7 to make 78.
22 does go into 78, 3 times. 3 × 22 = 66. To find the remainder, you do 78 - 66 = 12, so you carry the 12 and make 122.
22 also goes into 122, 5 times, because 22 × 5 = 110. 122 - 110 = 12, so you carry the 12 again and make 120.
120 is divisible by 22 also as 22 × 5 = 110, so 120 - 110 = 10, which is what you carry to make 100.
22 only goes into 100 4 times to make 88, which means that 100 - 88 = 12, which you carry to make 120, and we've already seen that 120 ÷ 22 is 5 (remainder 10).
I hope this helps!