Solve 239div21

$$239 \div 21$$

Evaluate

$$\frac{239}{21}\approx 11.380952381$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 239

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)239}\\\end{array}$$

Since 2 is less than 21, use the next digit 3 from dividend 239 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)239}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 239

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)239}\\\end{array}$$

Find closest multiple of 21 to 23. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 23 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}01\phantom{4}\\21\overline{)239}\\\phantom{21)}\underline{\phantom{}21\phantom{9}}\\\phantom{21)9}2\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 239

$$\begin{array}{l}\phantom{21)}01\phantom{5}\\21\overline{)239}\\\phantom{21)}\underline{\phantom{}21\phantom{9}}\\\phantom{21)9}29\\\end{array}$$

Find closest multiple of 21 to 29. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 29 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}011\phantom{6}\\21\overline{)239}\\\phantom{21)}\underline{\phantom{}21\phantom{9}}\\\phantom{21)9}29\\\phantom{21)}\underline{\phantom{9}21\phantom{}}\\\phantom{21)99}8\\\end{array}$$

Since 8 is less than 21, stop the division. The reminder is 8. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }8$$

Factor

$$\frac{239}{3 \cdot 7} = 11\frac{8}{21} = 11.380952380952381$$