Solve 1276div37

$$1276 \div 37$$

Evaluate

$$\frac{1276}{37}\approx 34.486486486$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1276

$$\begin{array}{l}\phantom{37)}\phantom{1}\\37\overline{)1276}\\\end{array}$$

Since 1 is less than 37, use the next digit 2 from dividend 1276 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}0\phantom{2}\\37\overline{)1276}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1276

$$\begin{array}{l}\phantom{37)}0\phantom{3}\\37\overline{)1276}\\\end{array}$$

Since 12 is less than 37, use the next digit 7 from dividend 1276 and add 0 to the quotient

$$\begin{array}{l}\phantom{37)}00\phantom{4}\\37\overline{)1276}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 1276

$$\begin{array}{l}\phantom{37)}00\phantom{5}\\37\overline{)1276}\\\end{array}$$

Find closest multiple of 37 to 127. We see that 3 \times 37 = 111 is the nearest. Now subtract 111 from 127 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{37)}003\phantom{6}\\37\overline{)1276}\\\phantom{37)}\underline{\phantom{}111\phantom{9}}\\\phantom{37)9}16\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1276

$$\begin{array}{l}\phantom{37)}003\phantom{7}\\37\overline{)1276}\\\phantom{37)}\underline{\phantom{}111\phantom{9}}\\\phantom{37)9}166\\\end{array}$$

Find closest multiple of 37 to 166. We see that 4 \times 37 = 148 is the nearest. Now subtract 148 from 166 to get reminder 18. Add 4 to quotient.

$$\begin{array}{l}\phantom{37)}0034\phantom{8}\\37\overline{)1276}\\\phantom{37)}\underline{\phantom{}111\phantom{9}}\\\phantom{37)9}166\\\phantom{37)}\underline{\phantom{9}148\phantom{}}\\\phantom{37)99}18\\\end{array}$$

Since 18 is less than 37, stop the division. The reminder is 18. The topmost line 0034 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 34.

$$\text{Quotient: }34 \text{Reminder: }18$$

Factor

$$\frac{2 ^ {2} \cdot 11 \cdot 29}{37} = 34\frac{18}{37} = 34.486486486486484$$