Solve 9728/55

$$\frac { 9728 } { 55 }$$

Evaluate

$$\frac{9728}{55}\approx 176.872727273$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9728

$$\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)9728}\\\end{array}$$

Since 9 is less than 55, use the next digit 7 from dividend 9728 and add 0 to the quotient

$$\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)9728}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 9728

$$\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)9728}\\\end{array}$$

Find closest multiple of 55 to 97. We see that 1 \times 55 = 55 is the nearest. Now subtract 55 from 97 to get reminder 42. Add 1 to quotient.

$$\begin{array}{l}\phantom{55)}01\phantom{4}\\55\overline{)9728}\\\phantom{55)}\underline{\phantom{}55\phantom{99}}\\\phantom{55)}42\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 9728

$$\begin{array}{l}\phantom{55)}01\phantom{5}\\55\overline{)9728}\\\phantom{55)}\underline{\phantom{}55\phantom{99}}\\\phantom{55)}422\\\end{array}$$

Find closest multiple of 55 to 422. We see that 7 \times 55 = 385 is the nearest. Now subtract 385 from 422 to get reminder 37. Add 7 to quotient.

$$\begin{array}{l}\phantom{55)}017\phantom{6}\\55\overline{)9728}\\\phantom{55)}\underline{\phantom{}55\phantom{99}}\\\phantom{55)}422\\\phantom{55)}\underline{\phantom{}385\phantom{9}}\\\phantom{55)9}37\\\end{array}$$

Use the 4^{th} digit 8 from dividend 9728

$$\begin{array}{l}\phantom{55)}017\phantom{7}\\55\overline{)9728}\\\phantom{55)}\underline{\phantom{}55\phantom{99}}\\\phantom{55)}422\\\phantom{55)}\underline{\phantom{}385\phantom{9}}\\\phantom{55)9}378\\\end{array}$$

Find closest multiple of 55 to 378. We see that 6 \times 55 = 330 is the nearest. Now subtract 330 from 378 to get reminder 48. Add 6 to quotient.

$$\begin{array}{l}\phantom{55)}0176\phantom{8}\\55\overline{)9728}\\\phantom{55)}\underline{\phantom{}55\phantom{99}}\\\phantom{55)}422\\\phantom{55)}\underline{\phantom{}385\phantom{9}}\\\phantom{55)9}378\\\phantom{55)}\underline{\phantom{9}330\phantom{}}\\\phantom{55)99}48\\\end{array}$$

Since 48 is less than 55, stop the division. The reminder is 48. The topmost line 0176 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 176.

$$\text{Quotient: }176 \text{Reminder: }48$$

Factor

$$\frac{2 ^ {9} \cdot 19}{5 \cdot 11} = 176\frac{48}{55} = 176.87272727272727$$