Solve 12000div420

$$12000 \div 420$$

Evaluate

$$\frac{200}{7}\approx 28.571428571$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{420)}\phantom{1}\\420\overline{)12000}\\\end{array}$$

Since 1 is less than 420, use the next digit 2 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}0\phantom{2}\\420\overline{)12000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{420)}0\phantom{3}\\420\overline{)12000}\\\end{array}$$

Since 12 is less than 420, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}00\phantom{4}\\420\overline{)12000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{420)}00\phantom{5}\\420\overline{)12000}\\\end{array}$$

Since 120 is less than 420, use the next digit 0 from dividend 12000 and add 0 to the quotient

$$\begin{array}{l}\phantom{420)}000\phantom{6}\\420\overline{)12000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{420)}000\phantom{7}\\420\overline{)12000}\\\end{array}$$

Find closest multiple of 420 to 1200. We see that 2 \times 420 = 840 is the nearest. Now subtract 840 from 1200 to get reminder 360. Add 2 to quotient.

$$\begin{array}{l}\phantom{420)}0002\phantom{8}\\420\overline{)12000}\\\phantom{420)}\underline{\phantom{9}840\phantom{9}}\\\phantom{420)9}360\\\end{array}$$

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

$$\begin{array}{l}\phantom{420)}0002\phantom{9}\\420\overline{)12000}\\\phantom{420)}\underline{\phantom{9}840\phantom{9}}\\\phantom{420)9}3600\\\end{array}$$

Find closest multiple of 420 to 3600. We see that 8 \times 420 = 3360 is the nearest. Now subtract 3360 from 3600 to get reminder 240. Add 8 to quotient.

$$\begin{array}{l}\phantom{420)}00028\phantom{10}\\420\overline{)12000}\\\phantom{420)}\underline{\phantom{9}840\phantom{9}}\\\phantom{420)9}3600\\\phantom{420)}\underline{\phantom{9}3360\phantom{}}\\\phantom{420)99}240\\\end{array}$$

Since 240 is less than 420, stop the division. The reminder is 240. The topmost line 00028 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 28.

$$\text{Quotient: }28 \text{Reminder: }240$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{7} = 28\frac{4}{7} = 28.571428571428573$$