Solve 192/11

$$\frac { 192 } { 11 }$$

Evaluate

$$\frac{192}{11}\approx 17.454545455$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 192

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)192}\\\end{array}$$

Since 1 is less than 11, use the next digit 9 from dividend 192 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)192}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 192

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)192}\\\end{array}$$

Find closest multiple of 11 to 19. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 19 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}01\phantom{4}\\11\overline{)192}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}8\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 192

$$\begin{array}{l}\phantom{11)}01\phantom{5}\\11\overline{)192}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}82\\\end{array}$$

Find closest multiple of 11 to 82. We see that 7 \times 11 = 77 is the nearest. Now subtract 77 from 82 to get reminder 5. Add 7 to quotient.

$$\begin{array}{l}\phantom{11)}017\phantom{6}\\11\overline{)192}\\\phantom{11)}\underline{\phantom{}11\phantom{9}}\\\phantom{11)9}82\\\phantom{11)}\underline{\phantom{9}77\phantom{}}\\\phantom{11)99}5\\\end{array}$$

Since 5 is less than 11, stop the division. The reminder is 5. The topmost line 017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }5$$

Factor

$$\frac{2 ^ {6} \cdot 3}{11} = 17\frac{5}{11} = 17.454545454545453$$