Solve 65535div34=

$$65535 \div 34=$$

Evaluate

$$\frac{3855}{2}=1927.5$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 65535

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)65535}\\\end{array}$$

Since 6 is less than 34, use the next digit 5 from dividend 65535 and add 0 to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)65535}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 65535

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)65535}\\\end{array}$$

Find closest multiple of 34 to 65. We see that 1 \times 34 = 34 is the nearest. Now subtract 34 from 65 to get reminder 31. Add 1 to quotient.

$$\begin{array}{l}\phantom{34)}01\phantom{4}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}31\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 65535

$$\begin{array}{l}\phantom{34)}01\phantom{5}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}315\\\end{array}$$

Find closest multiple of 34 to 315. We see that 9 \times 34 = 306 is the nearest. Now subtract 306 from 315 to get reminder 9. Add 9 to quotient.

$$\begin{array}{l}\phantom{34)}019\phantom{6}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}315\\\phantom{34)}\underline{\phantom{}306\phantom{99}}\\\phantom{34)99}9\\\end{array}$$

Use the 4^{th} digit 3 from dividend 65535

$$\begin{array}{l}\phantom{34)}019\phantom{7}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}315\\\phantom{34)}\underline{\phantom{}306\phantom{99}}\\\phantom{34)99}93\\\end{array}$$

Find closest multiple of 34 to 93. We see that 2 \times 34 = 68 is the nearest. Now subtract 68 from 93 to get reminder 25. Add 2 to quotient.

$$\begin{array}{l}\phantom{34)}0192\phantom{8}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}315\\\phantom{34)}\underline{\phantom{}306\phantom{99}}\\\phantom{34)99}93\\\phantom{34)}\underline{\phantom{99}68\phantom{9}}\\\phantom{34)99}25\\\end{array}$$

Use the 5^{th} digit 5 from dividend 65535

$$\begin{array}{l}\phantom{34)}0192\phantom{9}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}315\\\phantom{34)}\underline{\phantom{}306\phantom{99}}\\\phantom{34)99}93\\\phantom{34)}\underline{\phantom{99}68\phantom{9}}\\\phantom{34)99}255\\\end{array}$$

Find closest multiple of 34 to 255. We see that 7 \times 34 = 238 is the nearest. Now subtract 238 from 255 to get reminder 17. Add 7 to quotient.

$$\begin{array}{l}\phantom{34)}01927\phantom{10}\\34\overline{)65535}\\\phantom{34)}\underline{\phantom{}34\phantom{999}}\\\phantom{34)}315\\\phantom{34)}\underline{\phantom{}306\phantom{99}}\\\phantom{34)99}93\\\phantom{34)}\underline{\phantom{99}68\phantom{9}}\\\phantom{34)99}255\\\phantom{34)}\underline{\phantom{99}238\phantom{}}\\\phantom{34)999}17\\\end{array}$$

Since 17 is less than 34, stop the division. The reminder is 17. The topmost line 01927 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1927.

$$\text{Quotient: }1927 \text{Reminder: }17$$

Factor

$$\frac{3 \cdot 5 \cdot 257}{2} = 1927\frac{1}{2} = 1927.5$$