Solve 3478div316

$$3478 \div 316$$

Evaluate

$$\frac{1739}{158}\approx 11.006329114$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{316)}\phantom{1}\\316\overline{)3478}\\\end{array}$$

Since 3 is less than 316, use the next digit 4 from dividend 3478 and add 0 to the quotient

$$\begin{array}{l}\phantom{316)}0\phantom{2}\\316\overline{)3478}\\\end{array}$$

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

$$\begin{array}{l}\phantom{316)}0\phantom{3}\\316\overline{)3478}\\\end{array}$$

Since 34 is less than 316, use the next digit 7 from dividend 3478 and add 0 to the quotient

$$\begin{array}{l}\phantom{316)}00\phantom{4}\\316\overline{)3478}\\\end{array}$$

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

$$\begin{array}{l}\phantom{316)}00\phantom{5}\\316\overline{)3478}\\\end{array}$$

Find closest multiple of 316 to 347. We see that 1 \times 316 = 316 is the nearest. Now subtract 316 from 347 to get reminder 31. Add 1 to quotient.

$$\begin{array}{l}\phantom{316)}001\phantom{6}\\316\overline{)3478}\\\phantom{316)}\underline{\phantom{}316\phantom{9}}\\\phantom{316)9}31\\\end{array}$$

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

$$\begin{array}{l}\phantom{316)}001\phantom{7}\\316\overline{)3478}\\\phantom{316)}\underline{\phantom{}316\phantom{9}}\\\phantom{316)9}318\\\end{array}$$

Find closest multiple of 316 to 318. We see that 1 \times 316 = 316 is the nearest. Now subtract 316 from 318 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{316)}0011\phantom{8}\\316\overline{)3478}\\\phantom{316)}\underline{\phantom{}316\phantom{9}}\\\phantom{316)9}318\\\phantom{316)}\underline{\phantom{9}316\phantom{}}\\\phantom{316)999}2\\\end{array}$$

Since 2 is less than 316, stop the division. The reminder is 2. The topmost line 0011 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 11.

$$\text{Quotient: }11 \text{Reminder: }2$$

Factor

$$\frac{37 \cdot 47}{2 \cdot 79} = 11\frac{1}{158} = 11.00632911392405$$