Solve 520000div413=

$$520000 \div 413=$$

Evaluate

$$\frac{520000}{413}\approx 1259.079903148$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 520000

$$\begin{array}{l}\phantom{413)}\phantom{1}\\413\overline{)520000}\\\end{array}$$

Since 5 is less than 413, use the next digit 2 from dividend 520000 and add 0 to the quotient

$$\begin{array}{l}\phantom{413)}0\phantom{2}\\413\overline{)520000}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 520000

$$\begin{array}{l}\phantom{413)}0\phantom{3}\\413\overline{)520000}\\\end{array}$$

Since 52 is less than 413, use the next digit 0 from dividend 520000 and add 0 to the quotient

$$\begin{array}{l}\phantom{413)}00\phantom{4}\\413\overline{)520000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 520000

$$\begin{array}{l}\phantom{413)}00\phantom{5}\\413\overline{)520000}\\\end{array}$$

Find closest multiple of 413 to 520. We see that 1 \times 413 = 413 is the nearest. Now subtract 413 from 520 to get reminder 107. Add 1 to quotient.

$$\begin{array}{l}\phantom{413)}001\phantom{6}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}107\\\end{array}$$

Use the 4^{th} digit 0 from dividend 520000

$$\begin{array}{l}\phantom{413)}001\phantom{7}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}1070\\\end{array}$$

Find closest multiple of 413 to 1070. We see that 2 \times 413 = 826 is the nearest. Now subtract 826 from 1070 to get reminder 244. Add 2 to quotient.

$$\begin{array}{l}\phantom{413)}0012\phantom{8}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}1070\\\phantom{413)}\underline{\phantom{9}826\phantom{99}}\\\phantom{413)9}244\\\end{array}$$

Use the 5^{th} digit 0 from dividend 520000

$$\begin{array}{l}\phantom{413)}0012\phantom{9}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}1070\\\phantom{413)}\underline{\phantom{9}826\phantom{99}}\\\phantom{413)9}2440\\\end{array}$$

Find closest multiple of 413 to 2440. We see that 5 \times 413 = 2065 is the nearest. Now subtract 2065 from 2440 to get reminder 375. Add 5 to quotient.

$$\begin{array}{l}\phantom{413)}00125\phantom{10}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}1070\\\phantom{413)}\underline{\phantom{9}826\phantom{99}}\\\phantom{413)9}2440\\\phantom{413)}\underline{\phantom{9}2065\phantom{9}}\\\phantom{413)99}375\\\end{array}$$

Use the 6^{th} digit 0 from dividend 520000

$$\begin{array}{l}\phantom{413)}00125\phantom{11}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}1070\\\phantom{413)}\underline{\phantom{9}826\phantom{99}}\\\phantom{413)9}2440\\\phantom{413)}\underline{\phantom{9}2065\phantom{9}}\\\phantom{413)99}3750\\\end{array}$$

Find closest multiple of 413 to 3750. We see that 9 \times 413 = 3717 is the nearest. Now subtract 3717 from 3750 to get reminder 33. Add 9 to quotient.

$$\begin{array}{l}\phantom{413)}001259\phantom{12}\\413\overline{)520000}\\\phantom{413)}\underline{\phantom{}413\phantom{999}}\\\phantom{413)}1070\\\phantom{413)}\underline{\phantom{9}826\phantom{99}}\\\phantom{413)9}2440\\\phantom{413)}\underline{\phantom{9}2065\phantom{9}}\\\phantom{413)99}3750\\\phantom{413)}\underline{\phantom{99}3717\phantom{}}\\\phantom{413)9999}33\\\end{array}$$

Since 33 is less than 413, stop the division. The reminder is 33. The topmost line 001259 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1259.

$$\text{Quotient: }1259 \text{Reminder: }33$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {4} \cdot 13}{7 \cdot 59} = 1259\frac{33}{413} = 1259.0799031476997$$