Solve 533/22

$$\frac { 533 } { 22 }$$

Evaluate

$$\frac{533}{22}\approx 24.227272727$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 533

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)533}\\\end{array}$$

Since 5 is less than 22, use the next digit 3 from dividend 533 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)533}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 533

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)533}\\\end{array}$$

Find closest multiple of 22 to 53. We see that 2 \times 22 = 44 is the nearest. Now subtract 44 from 53 to get reminder 9. Add 2 to quotient.

$$\begin{array}{l}\phantom{22)}02\phantom{4}\\22\overline{)533}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}9\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 533

$$\begin{array}{l}\phantom{22)}02\phantom{5}\\22\overline{)533}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}93\\\end{array}$$

Find closest multiple of 22 to 93. We see that 4 \times 22 = 88 is the nearest. Now subtract 88 from 93 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{22)}024\phantom{6}\\22\overline{)533}\\\phantom{22)}\underline{\phantom{}44\phantom{9}}\\\phantom{22)9}93\\\phantom{22)}\underline{\phantom{9}88\phantom{}}\\\phantom{22)99}5\\\end{array}$$

Since 5 is less than 22, stop the division. The reminder is 5. The topmost line 024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }5$$

Factor

$$\frac{13 \cdot 41}{2 \cdot 11} = 24\frac{5}{22} = 24.227272727272727$$