Solve 65000div8314

$$65000 \div 8314$$

Evaluate

$$\frac{32500}{4157}\approx 7.81813808$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 65000

$$\begin{array}{l}\phantom{8314)}\phantom{1}\\8314\overline{)65000}\\\end{array}$$

Since 6 is less than 8314, use the next digit 5 from dividend 65000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8314)}0\phantom{2}\\8314\overline{)65000}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 65000

$$\begin{array}{l}\phantom{8314)}0\phantom{3}\\8314\overline{)65000}\\\end{array}$$

Since 65 is less than 8314, use the next digit 0 from dividend 65000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8314)}00\phantom{4}\\8314\overline{)65000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 65000

$$\begin{array}{l}\phantom{8314)}00\phantom{5}\\8314\overline{)65000}\\\end{array}$$

Since 650 is less than 8314, use the next digit 0 from dividend 65000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8314)}000\phantom{6}\\8314\overline{)65000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 65000

$$\begin{array}{l}\phantom{8314)}000\phantom{7}\\8314\overline{)65000}\\\end{array}$$

Since 6500 is less than 8314, use the next digit 0 from dividend 65000 and add 0 to the quotient

$$\begin{array}{l}\phantom{8314)}0000\phantom{8}\\8314\overline{)65000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 65000

$$\begin{array}{l}\phantom{8314)}0000\phantom{9}\\8314\overline{)65000}\\\end{array}$$

Find closest multiple of 8314 to 65000. We see that 7 \times 8314 = 58198 is the nearest. Now subtract 58198 from 65000 to get reminder 6802. Add 7 to quotient.

$$\begin{array}{l}\phantom{8314)}00007\phantom{10}\\8314\overline{)65000}\\\phantom{8314)}\underline{\phantom{}58198\phantom{}}\\\phantom{8314)9}6802\\\end{array}$$

Since 6802 is less than 8314, stop the division. The reminder is 6802. The topmost line 00007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }6802$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {4} \cdot 13}{4157} = 7\frac{3401}{4157} = 7.818138080346404$$