Solve 2000div52

$$2000 \div 52$$

Evaluate

$$\frac{500}{13}\approx 38.461538462$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{52)}\phantom{1}\\52\overline{)2000}\\\end{array}$$

Since 2 is less than 52, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}0\phantom{2}\\52\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{52)}0\phantom{3}\\52\overline{)2000}\\\end{array}$$

Since 20 is less than 52, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{52)}00\phantom{4}\\52\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{52)}00\phantom{5}\\52\overline{)2000}\\\end{array}$$

Find closest multiple of 52 to 200. We see that 3 \times 52 = 156 is the nearest. Now subtract 156 from 200 to get reminder 44. Add 3 to quotient.

$$\begin{array}{l}\phantom{52)}003\phantom{6}\\52\overline{)2000}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}44\\\end{array}$$

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

$$\begin{array}{l}\phantom{52)}003\phantom{7}\\52\overline{)2000}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}440\\\end{array}$$

Find closest multiple of 52 to 440. We see that 8 \times 52 = 416 is the nearest. Now subtract 416 from 440 to get reminder 24. Add 8 to quotient.

$$\begin{array}{l}\phantom{52)}0038\phantom{8}\\52\overline{)2000}\\\phantom{52)}\underline{\phantom{}156\phantom{9}}\\\phantom{52)9}440\\\phantom{52)}\underline{\phantom{9}416\phantom{}}\\\phantom{52)99}24\\\end{array}$$

Since 24 is less than 52, stop the division. The reminder is 24. The topmost line 0038 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 38.

$$\text{Quotient: }38 \text{Reminder: }24$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {3}}{13} = 38\frac{6}{13} = 38.46153846153846$$