Solve 605/22

$$\frac { 605 } { 22 }$$

Evaluate

$$\frac{55}{2}=27.5$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 605

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)605}\\\end{array}$$

Since 6 is less than 22, use the next digit 0 from dividend 605 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)605}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 605

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)605}\\\end{array}$$

Find closest multiple of 22 to 60. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 60 to get reminder 16. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)605}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)}16\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 605

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)605}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)}165\\\end{array}$$

Find closest multiple of 22 to 165. We see that 7 \times 22 = 154 is the nearest. Now subtract 154 from 165 to get reminder 11. Add 7 to quotient.

$$\begin{array}{l}\phantom{22)}027\phantom{6}\\22\overline{)605}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)}165\\\phantom{22)}\underline{\phantom{}154\phantom{}}\\\phantom{22)9}11\\\end{array}$$

Since 11 is less than 22, stop the division. The reminder is 11. The topmost line 027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }11$$

Factor

$$\frac{5 \cdot 11}{2} = 27\frac{1}{2} = 27.5$$