Solve 117/23

$$\frac{ 117 }{ 23 }$$

Evaluate

$$\frac{117}{23}\approx 5.086956522$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 117

$$\begin{array}{l}\phantom{23)}\phantom{1}\\23\overline{)117}\\\end{array}$$

Since 1 is less than 23, use the next digit 1 from dividend 117 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}0\phantom{2}\\23\overline{)117}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 117

$$\begin{array}{l}\phantom{23)}0\phantom{3}\\23\overline{)117}\\\end{array}$$

Since 11 is less than 23, use the next digit 7 from dividend 117 and add 0 to the quotient

$$\begin{array}{l}\phantom{23)}00\phantom{4}\\23\overline{)117}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 117

$$\begin{array}{l}\phantom{23)}00\phantom{5}\\23\overline{)117}\\\end{array}$$

Find closest multiple of 23 to 117. We see that 5 \times 23 = 115 is the nearest. Now subtract 115 from 117 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{23)}005\phantom{6}\\23\overline{)117}\\\phantom{23)}\underline{\phantom{}115\phantom{}}\\\phantom{23)99}2\\\end{array}$$

Since 2 is less than 23, stop the division. The reminder is 2. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }2$$

Factor

$$\frac{3 ^ {2} \cdot 13}{23} = 5\frac{2}{23} = 5.086956521739131$$