Solve 527243/1006

$$\frac { 527243 } { 1006 }$$

Evaluate

$$\frac{527243}{1006}\approx 524.098409543$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 527243

$$\begin{array}{l}\phantom{1006)}\phantom{1}\\1006\overline{)527243}\\\end{array}$$

Since 5 is less than 1006, use the next digit 2 from dividend 527243 and add 0 to the quotient

$$\begin{array}{l}\phantom{1006)}0\phantom{2}\\1006\overline{)527243}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 527243

$$\begin{array}{l}\phantom{1006)}0\phantom{3}\\1006\overline{)527243}\\\end{array}$$

Since 52 is less than 1006, use the next digit 7 from dividend 527243 and add 0 to the quotient

$$\begin{array}{l}\phantom{1006)}00\phantom{4}\\1006\overline{)527243}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 527243

$$\begin{array}{l}\phantom{1006)}00\phantom{5}\\1006\overline{)527243}\\\end{array}$$

Since 527 is less than 1006, use the next digit 2 from dividend 527243 and add 0 to the quotient

$$\begin{array}{l}\phantom{1006)}000\phantom{6}\\1006\overline{)527243}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 527243

$$\begin{array}{l}\phantom{1006)}000\phantom{7}\\1006\overline{)527243}\\\end{array}$$

Find closest multiple of 1006 to 5272. We see that 5 \times 1006 = 5030 is the nearest. Now subtract 5030 from 5272 to get reminder 242. Add 5 to quotient.

$$\begin{array}{l}\phantom{1006)}0005\phantom{8}\\1006\overline{)527243}\\\phantom{1006)}\underline{\phantom{}5030\phantom{99}}\\\phantom{1006)9}242\\\end{array}$$

Use the 5^{th} digit 4 from dividend 527243

$$\begin{array}{l}\phantom{1006)}0005\phantom{9}\\1006\overline{)527243}\\\phantom{1006)}\underline{\phantom{}5030\phantom{99}}\\\phantom{1006)9}2424\\\end{array}$$

Find closest multiple of 1006 to 2424. We see that 2 \times 1006 = 2012 is the nearest. Now subtract 2012 from 2424 to get reminder 412. Add 2 to quotient.

$$\begin{array}{l}\phantom{1006)}00052\phantom{10}\\1006\overline{)527243}\\\phantom{1006)}\underline{\phantom{}5030\phantom{99}}\\\phantom{1006)9}2424\\\phantom{1006)}\underline{\phantom{9}2012\phantom{9}}\\\phantom{1006)99}412\\\end{array}$$

Use the 6^{th} digit 3 from dividend 527243

$$\begin{array}{l}\phantom{1006)}00052\phantom{11}\\1006\overline{)527243}\\\phantom{1006)}\underline{\phantom{}5030\phantom{99}}\\\phantom{1006)9}2424\\\phantom{1006)}\underline{\phantom{9}2012\phantom{9}}\\\phantom{1006)99}4123\\\end{array}$$

Find closest multiple of 1006 to 4123. We see that 4 \times 1006 = 4024 is the nearest. Now subtract 4024 from 4123 to get reminder 99. Add 4 to quotient.

$$\begin{array}{l}\phantom{1006)}000524\phantom{12}\\1006\overline{)527243}\\\phantom{1006)}\underline{\phantom{}5030\phantom{99}}\\\phantom{1006)9}2424\\\phantom{1006)}\underline{\phantom{9}2012\phantom{9}}\\\phantom{1006)99}4123\\\phantom{1006)}\underline{\phantom{99}4024\phantom{}}\\\phantom{1006)9999}99\\\end{array}$$

Since 99 is less than 1006, stop the division. The reminder is 99. The topmost line 000524 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 524.

$$\text{Quotient: }524 \text{Reminder: }99$$

Factor

$$\frac{467 \cdot 1129}{2 \cdot 503} = 524\frac{99}{1006} = 524.0984095427435$$