Solve 169div24

$$169 \div 24$$

Evaluate

$$\frac{169}{24}\approx 7.041666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 169

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)169}\\\end{array}$$

Since 1 is less than 24, use the next digit 6 from dividend 169 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)169}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 169

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)169}\\\end{array}$$

Since 16 is less than 24, use the next digit 9 from dividend 169 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)169}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 169

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)169}\\\end{array}$$

Find closest multiple of 24 to 169. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 169 to get reminder 1. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}007\phantom{6}\\24\overline{)169}\\\phantom{24)}\underline{\phantom{}168\phantom{}}\\\phantom{24)99}1\\\end{array}$$

Since 1 is less than 24, stop the division. The reminder is 1. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }1$$

Factor

$$\frac{13 ^ {2}}{2 ^ {3} \cdot 3} = 7\frac{1}{24} = 7.041666666666667$$