Solve 1890div16

$$1890 \div 16$$

Evaluate

$$\frac{945}{8}=118.125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1890

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1890}\\\end{array}$$

Since 1 is less than 16, use the next digit 8 from dividend 1890 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1890}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1890

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1890}\\\end{array}$$

Find closest multiple of 16 to 18. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 18 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}01\phantom{4}\\16\overline{)1890}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}2\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1890

$$\begin{array}{l}\phantom{16)}01\phantom{5}\\16\overline{)1890}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}29\\\end{array}$$

Find closest multiple of 16 to 29. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 29 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}011\phantom{6}\\16\overline{)1890}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}29\\\phantom{16)}\underline{\phantom{9}16\phantom{9}}\\\phantom{16)9}13\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1890

$$\begin{array}{l}\phantom{16)}011\phantom{7}\\16\overline{)1890}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}29\\\phantom{16)}\underline{\phantom{9}16\phantom{9}}\\\phantom{16)9}130\\\end{array}$$

Find closest multiple of 16 to 130. We see that 8 \times 16 = 128 is the nearest. Now subtract 128 from 130 to get reminder 2. Add 8 to quotient.

$$\begin{array}{l}\phantom{16)}0118\phantom{8}\\16\overline{)1890}\\\phantom{16)}\underline{\phantom{}16\phantom{99}}\\\phantom{16)9}29\\\phantom{16)}\underline{\phantom{9}16\phantom{9}}\\\phantom{16)9}130\\\phantom{16)}\underline{\phantom{9}128\phantom{}}\\\phantom{16)999}2\\\end{array}$$

Since 2 is less than 16, stop the division. The reminder is 2. The topmost line 0118 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 118.

$$\text{Quotient: }118 \text{Reminder: }2$$

Factor

$$\frac{3 ^ {3} \cdot 5 \cdot 7}{2 ^ {3}} = 118\frac{1}{8} = 118.125$$