Solve 752756/150

$$\frac { 752756 } { 150 }$$

Evaluate

$$\frac{376378}{75}\approx 5018.373333333$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 752756

$$\begin{array}{l}\phantom{150)}\phantom{1}\\150\overline{)752756}\\\end{array}$$

Since 7 is less than 150, use the next digit 5 from dividend 752756 and add 0 to the quotient

$$\begin{array}{l}\phantom{150)}0\phantom{2}\\150\overline{)752756}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 752756

$$\begin{array}{l}\phantom{150)}0\phantom{3}\\150\overline{)752756}\\\end{array}$$

Since 75 is less than 150, use the next digit 2 from dividend 752756 and add 0 to the quotient

$$\begin{array}{l}\phantom{150)}00\phantom{4}\\150\overline{)752756}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 752756

$$\begin{array}{l}\phantom{150)}00\phantom{5}\\150\overline{)752756}\\\end{array}$$

Find closest multiple of 150 to 752. We see that 5 \times 150 = 750 is the nearest. Now subtract 750 from 752 to get reminder 2. Add 5 to quotient.

$$\begin{array}{l}\phantom{150)}005\phantom{6}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}2\\\end{array}$$

Use the 4^{th} digit 7 from dividend 752756

$$\begin{array}{l}\phantom{150)}005\phantom{7}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}27\\\end{array}$$

Since 27 is less than 150, use the next digit 5 from dividend 752756 and add 0 to the quotient

$$\begin{array}{l}\phantom{150)}0050\phantom{8}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}27\\\end{array}$$

Use the 5^{th} digit 5 from dividend 752756

$$\begin{array}{l}\phantom{150)}0050\phantom{9}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}275\\\end{array}$$

Find closest multiple of 150 to 275. We see that 1 \times 150 = 150 is the nearest. Now subtract 150 from 275 to get reminder 125. Add 1 to quotient.

$$\begin{array}{l}\phantom{150)}00501\phantom{10}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}275\\\phantom{150)}\underline{\phantom{99}150\phantom{9}}\\\phantom{150)99}125\\\end{array}$$

Use the 6^{th} digit 6 from dividend 752756

$$\begin{array}{l}\phantom{150)}00501\phantom{11}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}275\\\phantom{150)}\underline{\phantom{99}150\phantom{9}}\\\phantom{150)99}1256\\\end{array}$$

Find closest multiple of 150 to 1256. We see that 8 \times 150 = 1200 is the nearest. Now subtract 1200 from 1256 to get reminder 56. Add 8 to quotient.

$$\begin{array}{l}\phantom{150)}005018\phantom{12}\\150\overline{)752756}\\\phantom{150)}\underline{\phantom{}750\phantom{999}}\\\phantom{150)99}275\\\phantom{150)}\underline{\phantom{99}150\phantom{9}}\\\phantom{150)99}1256\\\phantom{150)}\underline{\phantom{99}1200\phantom{}}\\\phantom{150)9999}56\\\end{array}$$

Since 56 is less than 150, stop the division. The reminder is 56. The topmost line 005018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5018.

$$\text{Quotient: }5018 \text{Reminder: }56$$

Factor

$$\frac{2 \cdot 188189}{3 \cdot 5 ^ {2}} = 5018\frac{28}{75} = 5018.373333333333$$