Solve 512div26

$$512 \div 26$$

Evaluate

$$\frac{256}{13}\approx 19.692307692$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 512

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)512}\\\end{array}$$

Since 5 is less than 26, use the next digit 1 from dividend 512 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)512}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 512

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)512}\\\end{array}$$

Find closest multiple of 26 to 51. We see that 1 \times 26 = 26 is the nearest. Now subtract 26 from 51 to get reminder 25. Add 1 to quotient.

$$\begin{array}{l}\phantom{26)}01\phantom{4}\\26\overline{)512}\\\phantom{26)}\underline{\phantom{}26\phantom{9}}\\\phantom{26)}25\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 512

$$\begin{array}{l}\phantom{26)}01\phantom{5}\\26\overline{)512}\\\phantom{26)}\underline{\phantom{}26\phantom{9}}\\\phantom{26)}252\\\end{array}$$

Find closest multiple of 26 to 252. We see that 9 \times 26 = 234 is the nearest. Now subtract 234 from 252 to get reminder 18. Add 9 to quotient.

$$\begin{array}{l}\phantom{26)}019\phantom{6}\\26\overline{)512}\\\phantom{26)}\underline{\phantom{}26\phantom{9}}\\\phantom{26)}252\\\phantom{26)}\underline{\phantom{}234\phantom{}}\\\phantom{26)9}18\\\end{array}$$

Since 18 is less than 26, stop the division. The reminder is 18. The topmost line 019 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 19.

$$\text{Quotient: }19 \text{Reminder: }18$$

Factor

$$\frac{2 ^ {8}}{13} = 19\frac{9}{13} = 19.692307692307693$$