Solve 496/22

$$\frac { 496 } { 22 }$$

Evaluate

$$\frac{248}{11}\approx 22.545454545$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 496

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)496}\\\end{array}$$

Since 4 is less than 22, use the next digit 9 from dividend 496 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)496}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 496

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)496}\\\end{array}$$

Find closest multiple of 22 to 49. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 49 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)496}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}5\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 496

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)496}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}56\\\end{array}$$

Find closest multiple of 22 to 56. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 56 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}022\phantom{6}\\22\overline{)496}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}56\\\phantom{22)}\underline{\phantom{9}44\phantom{}}\\\phantom{22)9}12\\\end{array}$$

Since 12 is less than 22, stop the division. The reminder is 12. The topmost line 022 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 22.

$$\text{Quotient: }22 \text{Reminder: }12$$

Factor

$$\frac{2 ^ {3} \cdot 31}{11} = 22\frac{6}{11} = 22.545454545454547$$