Solve 3578:38

$$3578 : 38$$

Evaluate

$$\frac{1789}{19}\approx 94.157894737$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3578

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)3578}\\\end{array}$$

Since 3 is less than 38, use the next digit 5 from dividend 3578 and add 0 to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)3578}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 3578

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)3578}\\\end{array}$$

Since 35 is less than 38, use the next digit 7 from dividend 3578 and add 0 to the quotient

$$\begin{array}{l}\phantom{38)}00\phantom{4}\\38\overline{)3578}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3578

$$\begin{array}{l}\phantom{38)}00\phantom{5}\\38\overline{)3578}\\\end{array}$$

Find closest multiple of 38 to 357. We see that 9 \times 38 = 342 is the nearest. Now subtract 342 from 357 to get reminder 15. Add 9 to quotient.

$$\begin{array}{l}\phantom{38)}009\phantom{6}\\38\overline{)3578}\\\phantom{38)}\underline{\phantom{}342\phantom{9}}\\\phantom{38)9}15\\\end{array}$$

Use the 4^{th} digit 8 from dividend 3578

$$\begin{array}{l}\phantom{38)}009\phantom{7}\\38\overline{)3578}\\\phantom{38)}\underline{\phantom{}342\phantom{9}}\\\phantom{38)9}158\\\end{array}$$

Find closest multiple of 38 to 158. We see that 4 \times 38 = 152 is the nearest. Now subtract 152 from 158 to get reminder 6. Add 4 to quotient.

$$\begin{array}{l}\phantom{38)}0094\phantom{8}\\38\overline{)3578}\\\phantom{38)}\underline{\phantom{}342\phantom{9}}\\\phantom{38)9}158\\\phantom{38)}\underline{\phantom{9}152\phantom{}}\\\phantom{38)999}6\\\end{array}$$

Since 6 is less than 38, stop the division. The reminder is 6. The topmost line 0094 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 94.

$$\text{Quotient: }94 \text{Reminder: }6$$

Factor

$$\frac{1789}{19} = 94\frac{3}{19} = 94.15789473684211$$