70336 ÷ 4 = 17584 R0
Alright, let's work through the division of 70336 by 4 step by step.

Step 1:
4 goes into 7 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 4 from 7 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Step 2:
4 goes into 30 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 28 from 30 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 4

Step 3:
4 goes into 23 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 175
Subtract 20 from 23 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Step 4:
4 goes into 33 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1758
Subtract 32 from 33 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 4

Step 5:
4 goes into 16 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 17584
Subtract 16 from 16 to get 0.

The final result is 17584 with a remainder of 0.