Solve 3000/57

$$3000 / 57$$

Evaluate

$$\frac{1000}{19}\approx 52.631578947$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000

$$\begin{array}{l}\phantom{57)}\phantom{1}\\57\overline{)3000}\\\end{array}$$

Since 3 is less than 57, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}0\phantom{2}\\57\overline{)3000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{57)}0\phantom{3}\\57\overline{)3000}\\\end{array}$$

Since 30 is less than 57, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{57)}00\phantom{4}\\57\overline{)3000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{57)}00\phantom{5}\\57\overline{)3000}\\\end{array}$$

Find closest multiple of 57 to 300. We see that 5 \times 57 = 285 is the nearest. Now subtract 285 from 300 to get reminder 15. Add 5 to quotient.

$$\begin{array}{l}\phantom{57)}005\phantom{6}\\57\overline{)3000}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}15\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{57)}005\phantom{7}\\57\overline{)3000}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}150\\\end{array}$$

Find closest multiple of 57 to 150. We see that 2 \times 57 = 114 is the nearest. Now subtract 114 from 150 to get reminder 36. Add 2 to quotient.

$$\begin{array}{l}\phantom{57)}0052\phantom{8}\\57\overline{)3000}\\\phantom{57)}\underline{\phantom{}285\phantom{9}}\\\phantom{57)9}150\\\phantom{57)}\underline{\phantom{9}114\phantom{}}\\\phantom{57)99}36\\\end{array}$$

Since 36 is less than 57, stop the division. The reminder is 36. The topmost line 0052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }36$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{19} = 52\frac{12}{19} = 52.63157894736842$$