Solve 6000div42

$$6000 \div 42$$

Evaluate

$$\frac{1000}{7}\approx 142.857142857$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6000

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)6000}\\\end{array}$$

Since 6 is less than 42, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)6000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)6000}\\\end{array}$$

Find closest multiple of 42 to 60. We see that 1 \times 42 = 42 is the nearest. Now subtract 42 from 60 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{42)}01\phantom{4}\\42\overline{)6000}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}18\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{42)}01\phantom{5}\\42\overline{)6000}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}180\\\end{array}$$

Find closest multiple of 42 to 180. We see that 4 \times 42 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 4 to quotient.

$$\begin{array}{l}\phantom{42)}014\phantom{6}\\42\overline{)6000}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}180\\\phantom{42)}\underline{\phantom{}168\phantom{9}}\\\phantom{42)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{42)}014\phantom{7}\\42\overline{)6000}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}180\\\phantom{42)}\underline{\phantom{}168\phantom{9}}\\\phantom{42)9}120\\\end{array}$$

Find closest multiple of 42 to 120. We see that 2 \times 42 = 84 is the nearest. Now subtract 84 from 120 to get reminder 36. Add 2 to quotient.

$$\begin{array}{l}\phantom{42)}0142\phantom{8}\\42\overline{)6000}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}180\\\phantom{42)}\underline{\phantom{}168\phantom{9}}\\\phantom{42)9}120\\\phantom{42)}\underline{\phantom{99}84\phantom{}}\\\phantom{42)99}36\\\end{array}$$

Since 36 is less than 42, stop the division. The reminder is 36. The topmost line 0142 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 142.

$$\text{Quotient: }142 \text{Reminder: }36$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{7} = 142\frac{6}{7} = 142.85714285714286$$