Solve 2000div42

$$2000 \div 42$$

Evaluate

$$\frac{1000}{21}\approx 47.619047619$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)2000}\\\end{array}$$

Since 2 is less than 42, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)2000}\\\end{array}$$

Since 20 is less than 42, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}00\phantom{4}\\42\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{42)}00\phantom{5}\\42\overline{)2000}\\\end{array}$$

Find closest multiple of 42 to 200. We see that 4 \times 42 = 168 is the nearest. Now subtract 168 from 200 to get reminder 32. Add 4 to quotient.

$$\begin{array}{l}\phantom{42)}004\phantom{6}\\42\overline{)2000}\\\phantom{42)}\underline{\phantom{}168\phantom{9}}\\\phantom{42)9}32\\\end{array}$$

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

$$\begin{array}{l}\phantom{42)}004\phantom{7}\\42\overline{)2000}\\\phantom{42)}\underline{\phantom{}168\phantom{9}}\\\phantom{42)9}320\\\end{array}$$

Find closest multiple of 42 to 320. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 320 to get reminder 26. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}0047\phantom{8}\\42\overline{)2000}\\\phantom{42)}\underline{\phantom{}168\phantom{9}}\\\phantom{42)9}320\\\phantom{42)}\underline{\phantom{9}294\phantom{}}\\\phantom{42)99}26\\\end{array}$$

Since 26 is less than 42, stop the division. The reminder is 26. The topmost line 0047 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 47.

$$\text{Quotient: }47 \text{Reminder: }26$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{3 \cdot 7} = 47\frac{13}{21} = 47.61904761904762$$