Solve 96000div13874

$$96000 \div 13874$$

Evaluate

$$\frac{48000}{6937}\approx 6.919417616$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 96000

$$\begin{array}{l}\phantom{13874)}\phantom{1}\\13874\overline{)96000}\\\end{array}$$

Since 9 is less than 13874, use the next digit 6 from dividend 96000 and add 0 to the quotient

$$\begin{array}{l}\phantom{13874)}0\phantom{2}\\13874\overline{)96000}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 96000

$$\begin{array}{l}\phantom{13874)}0\phantom{3}\\13874\overline{)96000}\\\end{array}$$

Since 96 is less than 13874, use the next digit 0 from dividend 96000 and add 0 to the quotient

$$\begin{array}{l}\phantom{13874)}00\phantom{4}\\13874\overline{)96000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 96000

$$\begin{array}{l}\phantom{13874)}00\phantom{5}\\13874\overline{)96000}\\\end{array}$$

Since 960 is less than 13874, use the next digit 0 from dividend 96000 and add 0 to the quotient

$$\begin{array}{l}\phantom{13874)}000\phantom{6}\\13874\overline{)96000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 96000

$$\begin{array}{l}\phantom{13874)}000\phantom{7}\\13874\overline{)96000}\\\end{array}$$

Since 9600 is less than 13874, use the next digit 0 from dividend 96000 and add 0 to the quotient

$$\begin{array}{l}\phantom{13874)}0000\phantom{8}\\13874\overline{)96000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 96000

$$\begin{array}{l}\phantom{13874)}0000\phantom{9}\\13874\overline{)96000}\\\end{array}$$

Find closest multiple of 13874 to 96000. We see that 6 \times 13874 = 83244 is the nearest. Now subtract 83244 from 96000 to get reminder 12756. Add 6 to quotient.

$$\begin{array}{l}\phantom{13874)}00006\phantom{10}\\13874\overline{)96000}\\\phantom{13874)}\underline{\phantom{}83244\phantom{}}\\\phantom{13874)}12756\\\end{array}$$

Since 12756 is less than 13874, stop the division. The reminder is 12756. The topmost line 00006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }12756$$

Factor

$$\frac{2 ^ {7} \cdot 3 \cdot 5 ^ {3}}{7 \cdot 991} = 6\frac{6378}{6937} = 6.919417615684013$$