Solve 90317div133

$$90317 \div 133$$

Evaluate

$$\frac{90317}{133}\approx 679.07518797$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 90317

$$\begin{array}{l}\phantom{133)}\phantom{1}\\133\overline{)90317}\\\end{array}$$

Since 9 is less than 133, use the next digit 0 from dividend 90317 and add 0 to the quotient

$$\begin{array}{l}\phantom{133)}0\phantom{2}\\133\overline{)90317}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 90317

$$\begin{array}{l}\phantom{133)}0\phantom{3}\\133\overline{)90317}\\\end{array}$$

Since 90 is less than 133, use the next digit 3 from dividend 90317 and add 0 to the quotient

$$\begin{array}{l}\phantom{133)}00\phantom{4}\\133\overline{)90317}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 90317

$$\begin{array}{l}\phantom{133)}00\phantom{5}\\133\overline{)90317}\\\end{array}$$

Find closest multiple of 133 to 903. We see that 6 \times 133 = 798 is the nearest. Now subtract 798 from 903 to get reminder 105. Add 6 to quotient.

$$\begin{array}{l}\phantom{133)}006\phantom{6}\\133\overline{)90317}\\\phantom{133)}\underline{\phantom{}798\phantom{99}}\\\phantom{133)}105\\\end{array}$$

Use the 4^{th} digit 1 from dividend 90317

$$\begin{array}{l}\phantom{133)}006\phantom{7}\\133\overline{)90317}\\\phantom{133)}\underline{\phantom{}798\phantom{99}}\\\phantom{133)}1051\\\end{array}$$

Find closest multiple of 133 to 1051. We see that 7 \times 133 = 931 is the nearest. Now subtract 931 from 1051 to get reminder 120. Add 7 to quotient.

$$\begin{array}{l}\phantom{133)}0067\phantom{8}\\133\overline{)90317}\\\phantom{133)}\underline{\phantom{}798\phantom{99}}\\\phantom{133)}1051\\\phantom{133)}\underline{\phantom{9}931\phantom{9}}\\\phantom{133)9}120\\\end{array}$$

Use the 5^{th} digit 7 from dividend 90317

$$\begin{array}{l}\phantom{133)}0067\phantom{9}\\133\overline{)90317}\\\phantom{133)}\underline{\phantom{}798\phantom{99}}\\\phantom{133)}1051\\\phantom{133)}\underline{\phantom{9}931\phantom{9}}\\\phantom{133)9}1207\\\end{array}$$

Find closest multiple of 133 to 1207. We see that 9 \times 133 = 1197 is the nearest. Now subtract 1197 from 1207 to get reminder 10. Add 9 to quotient.

$$\begin{array}{l}\phantom{133)}00679\phantom{10}\\133\overline{)90317}\\\phantom{133)}\underline{\phantom{}798\phantom{99}}\\\phantom{133)}1051\\\phantom{133)}\underline{\phantom{9}931\phantom{9}}\\\phantom{133)9}1207\\\phantom{133)}\underline{\phantom{9}1197\phantom{}}\\\phantom{133)999}10\\\end{array}$$

Since 10 is less than 133, stop the division. The reminder is 10. The topmost line 00679 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 679.

$$\text{Quotient: }679 \text{Reminder: }10$$

Factor

$$\frac{37 \cdot 2441}{7 \cdot 19} = 679\frac{10}{133} = 679.0751879699249$$