Solve 3000div46

$$3000 \div 46$$

Evaluate

$$\frac{1500}{23}\approx 65.217391304$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)3000}\\\end{array}$$

Since 3 is less than 46, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)3000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)3000}\\\end{array}$$

Since 30 is less than 46, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)3000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)3000}\\\end{array}$$

Find closest multiple of 46 to 300. We see that 6 \times 46 = 276 is the nearest. Now subtract 276 from 300 to get reminder 24. Add 6 to quotient.

$$\begin{array}{l}\phantom{46)}006\phantom{6}\\46\overline{)3000}\\\phantom{46)}\underline{\phantom{}276\phantom{9}}\\\phantom{46)9}24\\\end{array}$$

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

$$\begin{array}{l}\phantom{46)}006\phantom{7}\\46\overline{)3000}\\\phantom{46)}\underline{\phantom{}276\phantom{9}}\\\phantom{46)9}240\\\end{array}$$

Find closest multiple of 46 to 240. We see that 5 \times 46 = 230 is the nearest. Now subtract 230 from 240 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{46)}0065\phantom{8}\\46\overline{)3000}\\\phantom{46)}\underline{\phantom{}276\phantom{9}}\\\phantom{46)9}240\\\phantom{46)}\underline{\phantom{9}230\phantom{}}\\\phantom{46)99}10\\\end{array}$$

Since 10 is less than 46, stop the division. The reminder is 10. The topmost line 0065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.

$$\text{Quotient: }65 \text{Reminder: }10$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {3}}{23} = 65\frac{5}{23} = 65.21739130434783$$