Solve 1176div37

$$1176 \div 37$$

Evaluate

$$\frac{1176}{37}\approx 31.783783784$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1176

$$\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)1176}\\\end{array}$$

Since 1 is less than 37, use the next digit 1 from dividend 1176 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)1176}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1176

$$\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)1176}\\\end{array}$$

Since 11 is less than 37, use the next digit 7 from dividend 1176 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)1176}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1176

$$\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)1176}\\\end{array}$$

Find closest multiple of 37 to 117. We see that 3 \times 37 = 111 is the nearest. Now subtract 111 from 117 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{37)}003\phantom{6}\\37\overline{)1176}\\\phantom{37)}\underline{\phantom{}111\phantom{9}}\\\phantom{37)99}6\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1176

$$\begin{array}{l}\phantom{37)}003\phantom{7}\\37\overline{)1176}\\\phantom{37)}\underline{\phantom{}111\phantom{9}}\\\phantom{37)99}66\\\end{array}$$

Find closest multiple of 37 to 66. We see that 1 \times 37 = 37 is the nearest. Now subtract 37 from 66 to get reminder 29. Add 1 to quotient.

$$\begin{array}{l}\phantom{37)}0031\phantom{8}\\37\overline{)1176}\\\phantom{37)}\underline{\phantom{}111\phantom{9}}\\\phantom{37)99}66\\\phantom{37)}\underline{\phantom{99}37\phantom{}}\\\phantom{37)99}29\\\end{array}$$

Since 29 is less than 37, stop the division. The reminder is 29. The topmost line 0031 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 31.

$$\text{Quotient: }31 \text{Reminder: }29$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 7 ^ {2}}{37} = 31\frac{29}{37} = 31.783783783783782$$