Answer:
12
Step-by-step explanation:
Using partial quotient we need the value of 156 divide by 13.
Dividend = 156
Divisor = 13
In partial-quotients division, choose a partial quotient and then subtract the product of the partial quotient and divisor from the dividend. Apply the same process again and again until the remainder is 0. Then add all partial quotients.
First partial quotient is 10.
[tex]13\times 10=130[/tex]
Subtract 130 from dividend.
[tex]156-130=26[/tex]
Second partial quotient is 2.
[tex]13\times 2=26[/tex]
Subtract 26 from new dividend, i.e., 26.
[tex]26-26=0[/tex]
Now, remainder is zero, so the required quotient is
[tex]10+2=12[/tex]
Therefore the value of [tex]\frac{156}{13}[/tex] is 12.