Solve 248/21

$$\frac { 248 } { 21 }$$

Evaluate

$$\frac{248}{21}\approx 11.80952381$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 248

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)248}\\\end{array}$$

Since 2 is less than 21, use the next digit 4 from dividend 248 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)248}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 248

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)248}\\\end{array}$$

Find closest multiple of 21 to 24. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 24 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}01\phantom{4}\\21\overline{)248}\\\phantom{21)}\underline{\phantom{}21\phantom{9}}\\\phantom{21)9}3\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 248

$$\begin{array}{l}\phantom{21)}01\phantom{5}\\21\overline{)248}\\\phantom{21)}\underline{\phantom{}21\phantom{9}}\\\phantom{21)9}38\\\end{array}$$

Find closest multiple of 21 to 38. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 38 to get reminder 17. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}011\phantom{6}\\21\overline{)248}\\\phantom{21)}\underline{\phantom{}21\phantom{9}}\\\phantom{21)9}38\\\phantom{21)}\underline{\phantom{9}21\phantom{}}\\\phantom{21)9}17\\\end{array}$$

Since 17 is less than 21, stop the division. The reminder is 17. The topmost line 011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }17$$

Factor

$$\frac{2 ^ {3} \cdot 31}{3 \cdot 7} = 11\frac{17}{21} = 11.80952380952381$$