Solve 2000div14

$$2000 \div 14$$

Evaluate

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

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2000

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)2000}\\\end{array}$$

Since 2 is less than 14, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)2000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)2000}\\\end{array}$$

Find closest multiple of 14 to 20. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 20 to get reminder 6. Add 1 to quotient.

$$\begin{array}{l}\phantom{14)}01\phantom{4}\\14\overline{)2000}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}6\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{14)}01\phantom{5}\\14\overline{)2000}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}60\\\end{array}$$

Find closest multiple of 14 to 60. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 60 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}014\phantom{6}\\14\overline{)2000}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}60\\\phantom{14)}\underline{\phantom{9}56\phantom{9}}\\\phantom{14)99}4\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2000

$$\begin{array}{l}\phantom{14)}014\phantom{7}\\14\overline{)2000}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}60\\\phantom{14)}\underline{\phantom{9}56\phantom{9}}\\\phantom{14)99}40\\\end{array}$$

Find closest multiple of 14 to 40. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 40 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}0142\phantom{8}\\14\overline{)2000}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}60\\\phantom{14)}\underline{\phantom{9}56\phantom{9}}\\\phantom{14)99}40\\\phantom{14)}\underline{\phantom{99}28\phantom{}}\\\phantom{14)99}12\\\end{array}$$

Since 12 is less than 14, stop the division. The reminder is 12. The topmost line 0142 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 142.

$$\text{Quotient: }142 \text{Reminder: }12$$

Factor

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