without actual computation ,find the quotient when the difference of 952 and259 is divided by 9

Dear Student ,
Please find below the solution to the asked query :

952=9×100+5×10+2259=2×100+5×10+9952-259=9×100+5×10+2-2×100+5×10+9=9-2×100+5-5×10+2-9=7×100+0-7=7100-1=7×99=7×11×9=77×9So , when it is divided by 9 , quotient is 77 .
 
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