Solve 6402div2046=

$$6402 \div 2046=$$

Evaluate

$$\frac{97}{31}\approx 3.129032258$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6402

$$\begin{array}{l}\phantom{2046)}\phantom{1}\\2046\overline{)6402}\\\end{array}$$

Since 6 is less than 2046, use the next digit 4 from dividend 6402 and add 0 to the quotient

$$\begin{array}{l}\phantom{2046)}0\phantom{2}\\2046\overline{)6402}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 6402

$$\begin{array}{l}\phantom{2046)}0\phantom{3}\\2046\overline{)6402}\\\end{array}$$

Since 64 is less than 2046, use the next digit 0 from dividend 6402 and add 0 to the quotient

$$\begin{array}{l}\phantom{2046)}00\phantom{4}\\2046\overline{)6402}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6402

$$\begin{array}{l}\phantom{2046)}00\phantom{5}\\2046\overline{)6402}\\\end{array}$$

Since 640 is less than 2046, use the next digit 2 from dividend 6402 and add 0 to the quotient

$$\begin{array}{l}\phantom{2046)}000\phantom{6}\\2046\overline{)6402}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 6402

$$\begin{array}{l}\phantom{2046)}000\phantom{7}\\2046\overline{)6402}\\\end{array}$$

Find closest multiple of 2046 to 6402. We see that 3 \times 2046 = 6138 is the nearest. Now subtract 6138 from 6402 to get reminder 264. Add 3 to quotient.

$$\begin{array}{l}\phantom{2046)}0003\phantom{8}\\2046\overline{)6402}\\\phantom{2046)}\underline{\phantom{}6138\phantom{}}\\\phantom{2046)9}264\\\end{array}$$

Since 264 is less than 2046, stop the division. The reminder is 264. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }264$$

Factor

$$\frac{97}{31} = 3\frac{4}{31} = 3.129032258064516$$