Solve 1024/243

$$\frac { 1024 } { 243 }$$

Evaluate

$$\frac{1024}{243}\approx 4.21399177$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1024

$$\begin{array}{l}\phantom{243)}\phantom{1}\\243\overline{)1024}\\\end{array}$$

Since 1 is less than 243, use the next digit 0 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{243)}0\phantom{2}\\243\overline{)1024}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1024

$$\begin{array}{l}\phantom{243)}0\phantom{3}\\243\overline{)1024}\\\end{array}$$

Since 10 is less than 243, use the next digit 2 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{243)}00\phantom{4}\\243\overline{)1024}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1024

$$\begin{array}{l}\phantom{243)}00\phantom{5}\\243\overline{)1024}\\\end{array}$$

Since 102 is less than 243, use the next digit 4 from dividend 1024 and add 0 to the quotient

$$\begin{array}{l}\phantom{243)}000\phantom{6}\\243\overline{)1024}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1024

$$\begin{array}{l}\phantom{243)}000\phantom{7}\\243\overline{)1024}\\\end{array}$$

Find closest multiple of 243 to 1024. We see that 4 \times 243 = 972 is the nearest. Now subtract 972 from 1024 to get reminder 52. Add 4 to quotient.

$$\begin{array}{l}\phantom{243)}0004\phantom{8}\\243\overline{)1024}\\\phantom{243)}\underline{\phantom{9}972\phantom{}}\\\phantom{243)99}52\\\end{array}$$

Since 52 is less than 243, stop the division. The reminder is 52. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }52$$

Factor

$$\frac{2 ^ {10}}{3 ^ {5}} = 4\frac{52}{243} = 4.2139917695473255$$