Solve 21356:762

$$21356 : 762$$

Evaluate

$$\frac{10678}{381}\approx 28.026246719$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 21356

$$\begin{array}{l}\phantom{762)}\phantom{1}\\762\overline{)21356}\\\end{array}$$

Since 2 is less than 762, use the next digit 1 from dividend 21356 and add 0 to the quotient

$$\begin{array}{l}\phantom{762)}0\phantom{2}\\762\overline{)21356}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 21356

$$\begin{array}{l}\phantom{762)}0\phantom{3}\\762\overline{)21356}\\\end{array}$$

Since 21 is less than 762, use the next digit 3 from dividend 21356 and add 0 to the quotient

$$\begin{array}{l}\phantom{762)}00\phantom{4}\\762\overline{)21356}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 21356

$$\begin{array}{l}\phantom{762)}00\phantom{5}\\762\overline{)21356}\\\end{array}$$

Since 213 is less than 762, use the next digit 5 from dividend 21356 and add 0 to the quotient

$$\begin{array}{l}\phantom{762)}000\phantom{6}\\762\overline{)21356}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 21356

$$\begin{array}{l}\phantom{762)}000\phantom{7}\\762\overline{)21356}\\\end{array}$$

Find closest multiple of 762 to 2135. We see that 2 \times 762 = 1524 is the nearest. Now subtract 1524 from 2135 to get reminder 611. Add 2 to quotient.

$$\begin{array}{l}\phantom{762)}0002\phantom{8}\\762\overline{)21356}\\\phantom{762)}\underline{\phantom{}1524\phantom{9}}\\\phantom{762)9}611\\\end{array}$$

Use the 5^{th} digit 6 from dividend 21356

$$\begin{array}{l}\phantom{762)}0002\phantom{9}\\762\overline{)21356}\\\phantom{762)}\underline{\phantom{}1524\phantom{9}}\\\phantom{762)9}6116\\\end{array}$$

Find closest multiple of 762 to 6116. We see that 8 \times 762 = 6096 is the nearest. Now subtract 6096 from 6116 to get reminder 20. Add 8 to quotient.

$$\begin{array}{l}\phantom{762)}00028\phantom{10}\\762\overline{)21356}\\\phantom{762)}\underline{\phantom{}1524\phantom{9}}\\\phantom{762)9}6116\\\phantom{762)}\underline{\phantom{9}6096\phantom{}}\\\phantom{762)999}20\\\end{array}$$

Since 20 is less than 762, stop the division. The reminder is 20. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }20$$

Factor

$$\frac{2 \cdot 19 \cdot 281}{3 \cdot 127} = 28\frac{10}{381} = 28.026246719160106$$