53970 ÷ 9 = 5996 R6
Alright, let's work through the division of 53970 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 (3) of the dividend behind the 5 and repeat the process: 53 / 9

Step 2:
9 goes into 53 5 times with a remainder of 8.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 53 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 9

Step 3:
9 goes into 89 9 times with a remainder of 8.
Write down 9 as next digit of of the result. 
Result so far: 59
Subtract 81 from 89 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 9

Step 4:
9 goes into 87 9 times with a remainder of 6.
Write down 9 as next digit of of the result. 
Result so far: 599
Subtract 81 from 87 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Step 5:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 5996
Subtract 54 from 60 to get 6.

The final result is 5996 with a remainder of 6.