56874 ÷ 9 = 6319 R3
Alright, let's work through the division of 56874 by 9 step by step.

Step 1:
9 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 9

Step 2:
9 goes into 56 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 56 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 9

Step 3:
9 goes into 28 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 63
Subtract 27 from 28 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 4:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 631
Subtract 9 from 17 to get 8.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 9

Step 5:
9 goes into 84 9 times with a remainder of 3.
Write down 9 as next digit of of the result. 
Result so far: 6319
Subtract 81 from 84 to get 3.

The final result is 6319 with a remainder of 3.