Solve 93/22

$$\frac { 93 } { 22 }$$

Evaluate

$$\frac{93}{22}\approx 4.227272727$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 93

$$\begin{array}{l}\phantom{22)}\phantom{1}\\22\overline{)93}\\\end{array}$$

Since 9 is less than 22, use the next digit 3 from dividend 93 and add 0 to the quotient

$$\begin{array}{l}\phantom{22)}0\phantom{2}\\22\overline{)93}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 93

$$\begin{array}{l}\phantom{22)}0\phantom{3}\\22\overline{)93}\\\end{array}$$

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.

$$\begin{array}{l}\phantom{22)}04\phantom{4}\\22\overline{)93}\\\phantom{22)}\underline{\phantom{}88\phantom{}}\\\phantom{22)9}5\\\end{array}$$

Since 5 is less than 22, stop the division. The reminder is 5. The topmost line 04 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }5$$

Factor

$$\frac{3 \cdot 31}{2 \cdot 11} = 4\frac{5}{22} = 4.2272727272727275$$