Solve 34789:16=

$$34789 : 16 =$$

Evaluate

$$\frac{34789}{16}=2174.3125$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34789

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)34789}\\\end{array}$$

Since 3 is less than 16, use the next digit 4 from dividend 34789 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)34789}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34789

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)34789}\\\end{array}$$

Find closest multiple of 16 to 34. We see that 2 \times 16 = 32 is the nearest. Now subtract 32 from 34 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{16)}02\phantom{4}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}2\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 34789

$$\begin{array}{l}\phantom{16)}02\phantom{5}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}27\\\end{array}$$

Find closest multiple of 16 to 27. We see that 1 \times 16 = 16 is the nearest. Now subtract 16 from 27 to get reminder 11. Add 1 to quotient.

$$\begin{array}{l}\phantom{16)}021\phantom{6}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}27\\\phantom{16)}\underline{\phantom{9}16\phantom{99}}\\\phantom{16)9}11\\\end{array}$$

Use the 4^{th} digit 8 from dividend 34789

$$\begin{array}{l}\phantom{16)}021\phantom{7}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}27\\\phantom{16)}\underline{\phantom{9}16\phantom{99}}\\\phantom{16)9}118\\\end{array}$$

Find closest multiple of 16 to 118. We see that 7 \times 16 = 112 is the nearest. Now subtract 112 from 118 to get reminder 6. Add 7 to quotient.

$$\begin{array}{l}\phantom{16)}0217\phantom{8}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}27\\\phantom{16)}\underline{\phantom{9}16\phantom{99}}\\\phantom{16)9}118\\\phantom{16)}\underline{\phantom{9}112\phantom{9}}\\\phantom{16)999}6\\\end{array}$$

Use the 5^{th} digit 9 from dividend 34789

$$\begin{array}{l}\phantom{16)}0217\phantom{9}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}27\\\phantom{16)}\underline{\phantom{9}16\phantom{99}}\\\phantom{16)9}118\\\phantom{16)}\underline{\phantom{9}112\phantom{9}}\\\phantom{16)999}69\\\end{array}$$

Find closest multiple of 16 to 69. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 69 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{16)}02174\phantom{10}\\16\overline{)34789}\\\phantom{16)}\underline{\phantom{}32\phantom{999}}\\\phantom{16)9}27\\\phantom{16)}\underline{\phantom{9}16\phantom{99}}\\\phantom{16)9}118\\\phantom{16)}\underline{\phantom{9}112\phantom{9}}\\\phantom{16)999}69\\\phantom{16)}\underline{\phantom{999}64\phantom{}}\\\phantom{16)9999}5\\\end{array}$$

Since 5 is less than 16, stop the division. The reminder is 5. The topmost line 02174 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2174.

$$\text{Quotient: }2174 \text{Reminder: }5$$

Factor

$$\frac{19 \cdot 1831}{2 ^ {4}} = 2174\frac{5}{16} = 2174.3125$$