Solve 169div29

$$169 \div 29$$

Evaluate

$$\frac{169}{29}\approx 5.827586207$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{29)}\phantom{1}\\29\overline{)169}\\\end{array}$$

Since 1 is less than 29, use the next digit 6 from dividend 169 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}0\phantom{2}\\29\overline{)169}\\\end{array}$$

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

$$\begin{array}{l}\phantom{29)}0\phantom{3}\\29\overline{)169}\\\end{array}$$

Since 16 is less than 29, use the next digit 9 from dividend 169 and add 0 to the quotient

$$\begin{array}{l}\phantom{29)}00\phantom{4}\\29\overline{)169}\\\end{array}$$

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

$$\begin{array}{l}\phantom{29)}00\phantom{5}\\29\overline{)169}\\\end{array}$$

Find closest multiple of 29 to 169. We see that 5 \times 29 = 145 is the nearest. Now subtract 145 from 169 to get reminder 24. Add 5 to quotient.

$$\begin{array}{l}\phantom{29)}005\phantom{6}\\29\overline{)169}\\\phantom{29)}\underline{\phantom{}145\phantom{}}\\\phantom{29)9}24\\\end{array}$$

Since 24 is less than 29, stop the division. The reminder is 24. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

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

Factor

$$\frac{13 ^ {2}}{29} = 5\frac{24}{29} = 5.827586206896552$$