7644 ÷ 8 = 955 R4
No problem, we've got 7644 and 8 for the division.

Step 1:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 8

Step 2:
8 goes into 76 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 72 from 76 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 3:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 40 from 44 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 4:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 955
Subtract 40 from 44 to get 4.

The final result is 955 with a remainder of 4.