7606 ÷ 6 = 1267 R4
Sure thing! Let's divide 7606 by 6 together.

Step 1:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 7 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 6

Step 2:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 12 from 16 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 3:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 126
Subtract 36 from 40 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 4:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 1267
Subtract 42 from 46 to get 4.

The final result is 1267 with a remainder of 4.