Solve 26244div729

$$26244 \div 729$$

Evaluate

$$36$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 26244

$$\begin{array}{l}\phantom{729)}\phantom{1}\\729\overline{)26244}\\\end{array}$$

Since 2 is less than 729, use the next digit 6 from dividend 26244 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}0\phantom{2}\\729\overline{)26244}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 26244

$$\begin{array}{l}\phantom{729)}0\phantom{3}\\729\overline{)26244}\\\end{array}$$

Since 26 is less than 729, use the next digit 2 from dividend 26244 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}00\phantom{4}\\729\overline{)26244}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 26244

$$\begin{array}{l}\phantom{729)}00\phantom{5}\\729\overline{)26244}\\\end{array}$$

Since 262 is less than 729, use the next digit 4 from dividend 26244 and add 0 to the quotient

$$\begin{array}{l}\phantom{729)}000\phantom{6}\\729\overline{)26244}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 26244

$$\begin{array}{l}\phantom{729)}000\phantom{7}\\729\overline{)26244}\\\end{array}$$

Find closest multiple of 729 to 2624. We see that 3 \times 729 = 2187 is the nearest. Now subtract 2187 from 2624 to get reminder 437. Add 3 to quotient.

$$\begin{array}{l}\phantom{729)}0003\phantom{8}\\729\overline{)26244}\\\phantom{729)}\underline{\phantom{}2187\phantom{9}}\\\phantom{729)9}437\\\end{array}$$

Use the 5^{th} digit 4 from dividend 26244

$$\begin{array}{l}\phantom{729)}0003\phantom{9}\\729\overline{)26244}\\\phantom{729)}\underline{\phantom{}2187\phantom{9}}\\\phantom{729)9}4374\\\end{array}$$

Find closest multiple of 729 to 4374. We see that 6 \times 729 = 4374 is the nearest. Now subtract 4374 from 4374 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{729)}00036\phantom{10}\\729\overline{)26244}\\\phantom{729)}\underline{\phantom{}2187\phantom{9}}\\\phantom{729)9}4374\\\phantom{729)}\underline{\phantom{9}4374\phantom{}}\\\phantom{729)99999}0\\\end{array}$$

Since 0 is less than 729, stop the division. The reminder is 0. The topmost line 00036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }0$$

Factor

$$2^{2}\times 3^{2}$$