Solve 289460:700

$$289460 : 700$$

Evaluate

$$\frac{14473}{35}\approx 413.514285714$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 289460

$$\begin{array}{l}\phantom{700)}\phantom{1}\\700\overline{)289460}\\\end{array}$$

Since 2 is less than 700, use the next digit 8 from dividend 289460 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}0\phantom{2}\\700\overline{)289460}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 289460

$$\begin{array}{l}\phantom{700)}0\phantom{3}\\700\overline{)289460}\\\end{array}$$

Since 28 is less than 700, use the next digit 9 from dividend 289460 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}00\phantom{4}\\700\overline{)289460}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 289460

$$\begin{array}{l}\phantom{700)}00\phantom{5}\\700\overline{)289460}\\\end{array}$$

Since 289 is less than 700, use the next digit 4 from dividend 289460 and add 0 to the quotient

$$\begin{array}{l}\phantom{700)}000\phantom{6}\\700\overline{)289460}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 289460

$$\begin{array}{l}\phantom{700)}000\phantom{7}\\700\overline{)289460}\\\end{array}$$

Find closest multiple of 700 to 2894. We see that 4 \times 700 = 2800 is the nearest. Now subtract 2800 from 2894 to get reminder 94. Add 4 to quotient.

$$\begin{array}{l}\phantom{700)}0004\phantom{8}\\700\overline{)289460}\\\phantom{700)}\underline{\phantom{}2800\phantom{99}}\\\phantom{700)99}94\\\end{array}$$

Use the 5^{th} digit 6 from dividend 289460

$$\begin{array}{l}\phantom{700)}0004\phantom{9}\\700\overline{)289460}\\\phantom{700)}\underline{\phantom{}2800\phantom{99}}\\\phantom{700)99}946\\\end{array}$$

Find closest multiple of 700 to 946. We see that 1 \times 700 = 700 is the nearest. Now subtract 700 from 946 to get reminder 246. Add 1 to quotient.

$$\begin{array}{l}\phantom{700)}00041\phantom{10}\\700\overline{)289460}\\\phantom{700)}\underline{\phantom{}2800\phantom{99}}\\\phantom{700)99}946\\\phantom{700)}\underline{\phantom{99}700\phantom{9}}\\\phantom{700)99}246\\\end{array}$$

Use the 6^{th} digit 0 from dividend 289460

$$\begin{array}{l}\phantom{700)}00041\phantom{11}\\700\overline{)289460}\\\phantom{700)}\underline{\phantom{}2800\phantom{99}}\\\phantom{700)99}946\\\phantom{700)}\underline{\phantom{99}700\phantom{9}}\\\phantom{700)99}2460\\\end{array}$$

Find closest multiple of 700 to 2460. We see that 3 \times 700 = 2100 is the nearest. Now subtract 2100 from 2460 to get reminder 360. Add 3 to quotient.

$$\begin{array}{l}\phantom{700)}000413\phantom{12}\\700\overline{)289460}\\\phantom{700)}\underline{\phantom{}2800\phantom{99}}\\\phantom{700)99}946\\\phantom{700)}\underline{\phantom{99}700\phantom{9}}\\\phantom{700)99}2460\\\phantom{700)}\underline{\phantom{99}2100\phantom{}}\\\phantom{700)999}360\\\end{array}$$

Since 360 is less than 700, stop the division. The reminder is 360. The topmost line 000413 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 413.

$$\text{Quotient: }413 \text{Reminder: }360$$

Factor

$$\frac{41 \cdot 353}{5 \cdot 7} = 413\frac{18}{35} = 413.51428571428573$$