Solve 1037div16

$$1037 \div 16$$

Evaluate

$$\frac{1037}{16}=64.8125$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1037

$$\begin{array}{l}\phantom{16)}\phantom{1}\\16\overline{)1037}\\\end{array}$$

Since 1 is less than 16, use the next digit 0 from dividend 1037 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}0\phantom{2}\\16\overline{)1037}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1037

$$\begin{array}{l}\phantom{16)}0\phantom{3}\\16\overline{)1037}\\\end{array}$$

Since 10 is less than 16, use the next digit 3 from dividend 1037 and add 0 to the quotient

$$\begin{array}{l}\phantom{16)}00\phantom{4}\\16\overline{)1037}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 1037

$$\begin{array}{l}\phantom{16)}00\phantom{5}\\16\overline{)1037}\\\end{array}$$

Find closest multiple of 16 to 103. We see that 6 \times 16 = 96 is the nearest. Now subtract 96 from 103 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{16)}006\phantom{6}\\16\overline{)1037}\\\phantom{16)}\underline{\phantom{9}96\phantom{9}}\\\phantom{16)99}7\\\end{array}$$

Use the 4^{th} digit 7 from dividend 1037

$$\begin{array}{l}\phantom{16)}006\phantom{7}\\16\overline{)1037}\\\phantom{16)}\underline{\phantom{9}96\phantom{9}}\\\phantom{16)99}77\\\end{array}$$

Find closest multiple of 16 to 77. We see that 4 \times 16 = 64 is the nearest. Now subtract 64 from 77 to get reminder 13. Add 4 to quotient.

$$\begin{array}{l}\phantom{16)}0064\phantom{8}\\16\overline{)1037}\\\phantom{16)}\underline{\phantom{9}96\phantom{9}}\\\phantom{16)99}77\\\phantom{16)}\underline{\phantom{99}64\phantom{}}\\\phantom{16)99}13\\\end{array}$$

Since 13 is less than 16, stop the division. The reminder is 13. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }13$$

Factor

$$\frac{17 \cdot 61}{2 ^ {4}} = 64\frac{13}{16} = 64.8125$$