Solve 12000/1423

$$\frac { 12000 } { 1423 }$$

Evaluate

$$\frac{12000}{1423}\approx 8.432888264$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12000

$$\begin{array}{l}\phantom{1423)}\phantom{1}\\1423\overline{)12000}\\\end{array}$$

Since 1 is less than 1423, use the next digit 2 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1423)}0\phantom{2}\\1423\overline{)12000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12000

$$\begin{array}{l}\phantom{1423)}0\phantom{3}\\1423\overline{)12000}\\\end{array}$$

Since 12 is less than 1423, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1423)}00\phantom{4}\\1423\overline{)12000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{1423)}00\phantom{5}\\1423\overline{)12000}\\\end{array}$$

Since 120 is less than 1423, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1423)}000\phantom{6}\\1423\overline{)12000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{1423)}000\phantom{7}\\1423\overline{)12000}\\\end{array}$$

Since 1200 is less than 1423, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{1423)}0000\phantom{8}\\1423\overline{)12000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 12000

$$\begin{array}{l}\phantom{1423)}0000\phantom{9}\\1423\overline{)12000}\\\end{array}$$

Find closest multiple of 1423 to 12000. We see that 8 \times 1423 = 11384 is the nearest. Now subtract 11384 from 12000 to get reminder 616. Add 8 to quotient.

$$\begin{array}{l}\phantom{1423)}00008\phantom{10}\\1423\overline{)12000}\\\phantom{1423)}\underline{\phantom{}11384\phantom{}}\\\phantom{1423)99}616\\\end{array}$$

Since 616 is less than 1423, stop the division. The reminder is 616. The topmost line 00008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }616$$

Factor

$$\frac{2 ^ {5} \cdot 3 \cdot 5 ^ {3}}{1423} = 8\frac{616}{1423} = 8.432888264230499$$