Solve 3478div312

$$3478 \div 312$$

Evaluate

$$\frac{1739}{156}\approx 11.147435897$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3478

$$\begin{array}{l}\phantom{312)}\phantom{1}\\312\overline{)3478}\\\end{array}$$

Since 3 is less than 312, use the next digit 4 from dividend 3478 and add 0 to the quotient

$$\begin{array}{l}\phantom{312)}0\phantom{2}\\312\overline{)3478}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 3478

$$\begin{array}{l}\phantom{312)}0\phantom{3}\\312\overline{)3478}\\\end{array}$$

Since 34 is less than 312, use the next digit 7 from dividend 3478 and add 0 to the quotient

$$\begin{array}{l}\phantom{312)}00\phantom{4}\\312\overline{)3478}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3478

$$\begin{array}{l}\phantom{312)}00\phantom{5}\\312\overline{)3478}\\\end{array}$$

Find closest multiple of 312 to 347. We see that 1 \times 312 = 312 is the nearest. Now subtract 312 from 347 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{312)}001\phantom{6}\\312\overline{)3478}\\\phantom{312)}\underline{\phantom{}312\phantom{9}}\\\phantom{312)9}35\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3478

$$\begin{array}{l}\phantom{312)}001\phantom{7}\\312\overline{)3478}\\\phantom{312)}\underline{\phantom{}312\phantom{9}}\\\phantom{312)9}358\\\end{array}$$

Find closest multiple of 312 to 358. We see that 1 \times 312 = 312 is the nearest. Now subtract 312 from 358 to get reminder 46. Add 1 to quotient.

$$\begin{array}{l}\phantom{312)}0011\phantom{8}\\312\overline{)3478}\\\phantom{312)}\underline{\phantom{}312\phantom{9}}\\\phantom{312)9}358\\\phantom{312)}\underline{\phantom{9}312\phantom{}}\\\phantom{312)99}46\\\end{array}$$

Since 46 is less than 312, stop the division. The reminder is 46. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }46$$

Factor

$$\frac{37 \cdot 47}{2 ^ {2} \cdot 3 \cdot 13} = 11\frac{23}{156} = 11.147435897435898$$