Solve 3750/30

$$\frac{ 3750 }{ 30 }$$

Evaluate

$$125$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3750

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)3750}\\\end{array}$$

Since 3 is less than 30, use the next digit 7 from dividend 3750 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)3750}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 3750

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)3750}\\\end{array}$$

Find closest multiple of 30 to 37. We see that 1 \times 30 = 30 is the nearest. Now subtract 30 from 37 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{30)}01\phantom{4}\\30\overline{)3750}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)9}7\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 3750

$$\begin{array}{l}\phantom{30)}01\phantom{5}\\30\overline{)3750}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)9}75\\\end{array}$$

Find closest multiple of 30 to 75. We see that 2 \times 30 = 60 is the nearest. Now subtract 60 from 75 to get reminder 15. Add 2 to quotient.

$$\begin{array}{l}\phantom{30)}012\phantom{6}\\30\overline{)3750}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)9}75\\\phantom{30)}\underline{\phantom{9}60\phantom{9}}\\\phantom{30)9}15\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3750

$$\begin{array}{l}\phantom{30)}012\phantom{7}\\30\overline{)3750}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)9}75\\\phantom{30)}\underline{\phantom{9}60\phantom{9}}\\\phantom{30)9}150\\\end{array}$$

Find closest multiple of 30 to 150. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 150 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}0125\phantom{8}\\30\overline{)3750}\\\phantom{30)}\underline{\phantom{}30\phantom{99}}\\\phantom{30)9}75\\\phantom{30)}\underline{\phantom{9}60\phantom{9}}\\\phantom{30)9}150\\\phantom{30)}\underline{\phantom{9}150\phantom{}}\\\phantom{30)9999}0\\\end{array}$$

Since 0 is less than 30, stop the division. The reminder is 0. The topmost line 0125 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 125.

$$\text{Quotient: }125 \text{Reminder: }0$$

Factor

$$5^{3}$$