Solve 5719div400

$$5719 \div 400$$

Evaluate

$$\frac{5719}{400}=14.2975$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5719

$$\begin{array}{l}\phantom{400)}\phantom{1}\\400\overline{)5719}\\\end{array}$$

Since 5 is less than 400, use the next digit 7 from dividend 5719 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}0\phantom{2}\\400\overline{)5719}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 5719

$$\begin{array}{l}\phantom{400)}0\phantom{3}\\400\overline{)5719}\\\end{array}$$

Since 57 is less than 400, use the next digit 1 from dividend 5719 and add 0 to the quotient

$$\begin{array}{l}\phantom{400)}00\phantom{4}\\400\overline{)5719}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5719

$$\begin{array}{l}\phantom{400)}00\phantom{5}\\400\overline{)5719}\\\end{array}$$

Find closest multiple of 400 to 571. We see that 1 \times 400 = 400 is the nearest. Now subtract 400 from 571 to get reminder 171. Add 1 to quotient.

$$\begin{array}{l}\phantom{400)}001\phantom{6}\\400\overline{)5719}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}171\\\end{array}$$

Use the 4^{th} digit 9 from dividend 5719

$$\begin{array}{l}\phantom{400)}001\phantom{7}\\400\overline{)5719}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}1719\\\end{array}$$

Find closest multiple of 400 to 1719. We see that 4 \times 400 = 1600 is the nearest. Now subtract 1600 from 1719 to get reminder 119. Add 4 to quotient.

$$\begin{array}{l}\phantom{400)}0014\phantom{8}\\400\overline{)5719}\\\phantom{400)}\underline{\phantom{}400\phantom{9}}\\\phantom{400)}1719\\\phantom{400)}\underline{\phantom{}1600\phantom{}}\\\phantom{400)9}119\\\end{array}$$

Since 119 is less than 400, stop the division. The reminder is 119. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }119$$

Factor

$$\frac{7 \cdot 19 \cdot 43}{2 ^ {4} \cdot 5 ^ {2}} = 14\frac{119}{400} = 14.2975$$