Solve 646464div4311

$$646464 \div 4311$$

Evaluate

$$\frac{215488}{1437}\approx 149.956854558$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 646464

$$\begin{array}{l}\phantom{4311)}\phantom{1}\\4311\overline{)646464}\\\end{array}$$

Since 6 is less than 4311, use the next digit 4 from dividend 646464 and add 0 to the quotient

$$\begin{array}{l}\phantom{4311)}0\phantom{2}\\4311\overline{)646464}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 646464

$$\begin{array}{l}\phantom{4311)}0\phantom{3}\\4311\overline{)646464}\\\end{array}$$

Since 64 is less than 4311, use the next digit 6 from dividend 646464 and add 0 to the quotient

$$\begin{array}{l}\phantom{4311)}00\phantom{4}\\4311\overline{)646464}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 646464

$$\begin{array}{l}\phantom{4311)}00\phantom{5}\\4311\overline{)646464}\\\end{array}$$

Since 646 is less than 4311, use the next digit 4 from dividend 646464 and add 0 to the quotient

$$\begin{array}{l}\phantom{4311)}000\phantom{6}\\4311\overline{)646464}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 646464

$$\begin{array}{l}\phantom{4311)}000\phantom{7}\\4311\overline{)646464}\\\end{array}$$

Find closest multiple of 4311 to 6464. We see that 1 \times 4311 = 4311 is the nearest. Now subtract 4311 from 6464 to get reminder 2153. Add 1 to quotient.

$$\begin{array}{l}\phantom{4311)}0001\phantom{8}\\4311\overline{)646464}\\\phantom{4311)}\underline{\phantom{}4311\phantom{99}}\\\phantom{4311)}2153\\\end{array}$$

Use the 5^{th} digit 6 from dividend 646464

$$\begin{array}{l}\phantom{4311)}0001\phantom{9}\\4311\overline{)646464}\\\phantom{4311)}\underline{\phantom{}4311\phantom{99}}\\\phantom{4311)}21536\\\end{array}$$

Find closest multiple of 4311 to 21536. We see that 4 \times 4311 = 17244 is the nearest. Now subtract 17244 from 21536 to get reminder 4292. Add 4 to quotient.

$$\begin{array}{l}\phantom{4311)}00014\phantom{10}\\4311\overline{)646464}\\\phantom{4311)}\underline{\phantom{}4311\phantom{99}}\\\phantom{4311)}21536\\\phantom{4311)}\underline{\phantom{}17244\phantom{9}}\\\phantom{4311)9}4292\\\end{array}$$

Use the 6^{th} digit 4 from dividend 646464

$$\begin{array}{l}\phantom{4311)}00014\phantom{11}\\4311\overline{)646464}\\\phantom{4311)}\underline{\phantom{}4311\phantom{99}}\\\phantom{4311)}21536\\\phantom{4311)}\underline{\phantom{}17244\phantom{9}}\\\phantom{4311)9}42924\\\end{array}$$

Find closest multiple of 4311 to 42924. We see that 9 \times 4311 = 38799 is the nearest. Now subtract 38799 from 42924 to get reminder 4125. Add 9 to quotient.

$$\begin{array}{l}\phantom{4311)}000149\phantom{12}\\4311\overline{)646464}\\\phantom{4311)}\underline{\phantom{}4311\phantom{99}}\\\phantom{4311)}21536\\\phantom{4311)}\underline{\phantom{}17244\phantom{9}}\\\phantom{4311)9}42924\\\phantom{4311)}\underline{\phantom{9}38799\phantom{}}\\\phantom{4311)99}4125\\\end{array}$$

Since 4125 is less than 4311, stop the division. The reminder is 4125. The topmost line 000149 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 149.

$$\text{Quotient: }149 \text{Reminder: }4125$$

Factor

$$\frac{2 ^ {6} \cdot 7 \cdot 13 \cdot 37}{3 \cdot 479} = 149\frac{1375}{1437} = 149.95685455810718$$