76338 ÷ 7 = 10905 R3
Sure thing! Let's divide 76338 by 7 together.

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

Step 2:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 7

Step 3:
7 goes into 63 9 times with a remainder of 0.
Write down 9 as next digit of of the result. 
Result so far: 109
Subtract 63 from 63 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 4:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 1090
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 7

Step 5:
7 goes into 38 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 10905
Subtract 35 from 38 to get 3.

The final result is 10905 with a remainder of 3.