Correct

到 vs 赴

/ dào vs fù /
Strokes

Definition

到 and 赴 both are Verbs, which means [go to].

Example

到 and 赴 both mean "to go to". 到 is colloquial and 赴 is literary.
The examples ① and ② are colloquial and 到 is used, while ③ and ④ are literary and 赴 is used.

2)The usage of 赴 is limited. 赴宴, 赴汤蹈火 (be ready to risk one's life), 前赴后继 (advance fearlessly) are some commonly used idiomatic phrases.
1
dào
nǎr  
哪儿
  
?

Where are you going?

2
cháng
dào
shūguǎn
图书馆
kàn
shū
  

He often went to the library to study.

3
Zǒng
总理
jīng
已经
chéng
启程
Ōuzhōu
欧洲
fǎngwèn
访问
  

The Premier has set out for a visit to the European countries.

4
Yǒuguān
有关
rénshì
人士
dōu
huì
biǎo
发表
yǎnshuō
演说
  

The people concerned will go to the meeting to deliver a speech.

到 has a very wide usage. Besides "to go to", it can also mean "to arrive at, be thoughtful, etc". It can also be used after a verb as a complement to mean attaining the aim of achieving a result.
In all these sentences 赴 cannot be used instead.
5
Dào
xià
下午
diǎn
  
,
bàogào
报告
jiù
可以
xiě
chéng
le
  

The report will be finished at five p.m. (meaning to arrive at a certain time)

6
Lái
kāihuì
开会
de
rén
  
,
dào
le
ma
  
?

Are all the meeting participants present?(meaning to arrive at a certain place)

7
Zhāodài
招待
dào
de
fāng
地方
qǐng
duō
bāohán
包涵
  

Forgive our inconsiderate treatment. (meaning to be thoughtful)

8
Zhè
shì
bàn
dào
  
!

This can never be done! (as complement)

9
Zuótiān
昨天
zài
jiēshang
街上
kàndào
看到
le
  

I saw him in the street yesterday. (as complement)

There are a few verb-object phrases where 到, 赴 are interchangeable, such as 到职, 赴职 (arrive at one's post).
10
de
dàozhí
到职
  
(
zhí
赴职
  
)
wéi
jiā
大家
suǒ
huānyíng
欢迎
  

His assumption of office was welcomed by everyone.

11
Zài
dàozhí
到职
  
(
zhí
赴职
  
)
xīnwèi
新位
zhīqián
之前
  
,
zǒngjīng
总经理
míngquè
明确
chū
提出
  
,
de
shǒuyào
首要
rènwu
任务
zhī
之一
jiāng
shì
jiànshè
建设
xīn
gōngchǎng
工厂
  

Before taking up his new post, the general manager made it clear that one of his top priorities would be to build a new plant.