Solve 140000div658

$$140000 \div 658$$

Evaluate

$$\frac{10000}{47}\approx 212.765957447$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 140000

$$\begin{array}{l}\phantom{658)}\phantom{1}\\658\overline{)140000}\\\end{array}$$

Since 1 is less than 658, use the next digit 4 from dividend 140000 and add 0 to the quotient

$$\begin{array}{l}\phantom{658)}0\phantom{2}\\658\overline{)140000}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 140000

$$\begin{array}{l}\phantom{658)}0\phantom{3}\\658\overline{)140000}\\\end{array}$$

Since 14 is less than 658, use the next digit 0 from dividend 140000 and add 0 to the quotient

$$\begin{array}{l}\phantom{658)}00\phantom{4}\\658\overline{)140000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{658)}00\phantom{5}\\658\overline{)140000}\\\end{array}$$

Since 140 is less than 658, use the next digit 0 from dividend 140000 and add 0 to the quotient

$$\begin{array}{l}\phantom{658)}000\phantom{6}\\658\overline{)140000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{658)}000\phantom{7}\\658\overline{)140000}\\\end{array}$$

Find closest multiple of 658 to 1400. We see that 2 \times 658 = 1316 is the nearest. Now subtract 1316 from 1400 to get reminder 84. Add 2 to quotient.

$$\begin{array}{l}\phantom{658)}0002\phantom{8}\\658\overline{)140000}\\\phantom{658)}\underline{\phantom{}1316\phantom{99}}\\\phantom{658)99}84\\\end{array}$$

Use the 5^{th} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{658)}0002\phantom{9}\\658\overline{)140000}\\\phantom{658)}\underline{\phantom{}1316\phantom{99}}\\\phantom{658)99}840\\\end{array}$$

Find closest multiple of 658 to 840. We see that 1 \times 658 = 658 is the nearest. Now subtract 658 from 840 to get reminder 182. Add 1 to quotient.

$$\begin{array}{l}\phantom{658)}00021\phantom{10}\\658\overline{)140000}\\\phantom{658)}\underline{\phantom{}1316\phantom{99}}\\\phantom{658)99}840\\\phantom{658)}\underline{\phantom{99}658\phantom{9}}\\\phantom{658)99}182\\\end{array}$$

Use the 6^{th} digit 0 from dividend 140000

$$\begin{array}{l}\phantom{658)}00021\phantom{11}\\658\overline{)140000}\\\phantom{658)}\underline{\phantom{}1316\phantom{99}}\\\phantom{658)99}840\\\phantom{658)}\underline{\phantom{99}658\phantom{9}}\\\phantom{658)99}1820\\\end{array}$$

Find closest multiple of 658 to 1820. We see that 2 \times 658 = 1316 is the nearest. Now subtract 1316 from 1820 to get reminder 504. Add 2 to quotient.

$$\begin{array}{l}\phantom{658)}000212\phantom{12}\\658\overline{)140000}\\\phantom{658)}\underline{\phantom{}1316\phantom{99}}\\\phantom{658)99}840\\\phantom{658)}\underline{\phantom{99}658\phantom{9}}\\\phantom{658)99}1820\\\phantom{658)}\underline{\phantom{99}1316\phantom{}}\\\phantom{658)999}504\\\end{array}$$

Since 504 is less than 658, stop the division. The reminder is 504. The topmost line 000212 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 212.

$$\text{Quotient: }212 \text{Reminder: }504$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4}}{47} = 212\frac{36}{47} = 212.7659574468085$$