46896 ÷ 7 = 6699 R3
Let's divide 46896 by 7.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 7

Step 2:
7 goes into 46 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 46 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 7

Step 3:
7 goes into 48 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 42 from 48 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 7

Step 4:
7 goes into 69 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 669
Subtract 63 from 69 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Step 5:
7 goes into 66 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 6699
Subtract 63 from 66 to get 3.

The final result is 6699 with a remainder of 3.