Solve 2000div16

$$2000 \div 16$$

Evaluate

$$125$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)2000}\\\end{array}$$

Since 2 is less than 16, use the next digit 0 from dividend 2000 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)2000}\\\end{array}$$

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

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)2000}\\\end{array}$$

Find closest multiple of 16 to 20. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 20 to get reminder 4. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)2000}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}4\\\end{array}$$

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

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)2000}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}40\\\end{array}$$

Find closest multiple of 16 to 40. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 40 to get reminder 8. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}012\phantom{6}\\16\overline{)2000}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}40\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}8\\\end{array}$$

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

$$\begin{array}{l}\phantom{16)}012\phantom{7}\\16\overline{)2000}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}40\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}80\\\end{array}$$

Find closest multiple of 16 to 80. We see that 5 \times 16 = 80 is the nearest. Now subtract 80 from 80 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{16)}0125\phantom{8}\\16\overline{)2000}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}40\\\phantom{16)}\underline{\phantom{9}32\phantom{9}}\\\phantom{16)99}80\\\phantom{16)}\underline{\phantom{99}80\phantom{}}\\\phantom{16)9999}0\\\end{array}$$

Since 0 is less than 16, 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

$$5^{3}$$