Hearts are four points behind second-placed Rangers and eight off leaders Celtic.

A first win in three games for the Edinburgh side consigned Motherwell to a sixth straight defeat, equalling an unwanted record from April 2003. They were booed off the pitch at the interval and at full-time.

Braga got his fifth goal of the season after 29 minutes, climbing high above the Motherwell defence to head into the net. Sub Miller hit a killer second with four minutes left on the clock.

Hearts keeper Beau Reus made useful saves from Jordan McGhee, Emmanuel Longelo and Dylan Levitt in a scrappy first half. The Jambos were clinical with their only clear chance.

The second half saw more huffing and puffing from Motherwell, while Hearts were content to hit on the break.

Alfred Johansson made two changes to his Motherwell side that lost 3-2 at Kilmarnock last weekend, as McGhee made his first start of the season and Levitt came in, with Lukas Fadinger and Alex Lowry dropping out.

Hearts boss Wouter Vrancken made three changes to the side that lost 2-0 at Trabzonspor in the Europa Conference League, with Stephen Kingsley, Sabah Kerjota and Josh McPake in for Christian Borchgrevink, Miller and Sabri Guendouz.

Motherwell’s Seb Palmer-Houlden capitalised on a defensive slip-up four minutes in, but could only find the right side-netting.

Kerjota had a go from outside the box after nine minutes, but it flew high and wide of the left post.

Longelo went on a run down the left wing in 15 minutes, but his powerful shot was taken by Reus at the near post, at the second attempt.

McGhee linked well with Tom Sparrow and made his way into the box 60 seconds later, but the striker’s shot was parried past the right post by Reus.

But Braga gave Hearts the lead after 29 minutes, heading a Kerjota cross from the right into the far corner of the net.

In response Levitt saw a shot brilliantly tipped over the top left corner by Reus, after a mazy run in the box.

Motherwell went close to levelling in the 39th minute when Longelo’s corner from the right was hooked just over by Palmer-Houlden.

Joe Hodge drove a cross over the face of goal with no takers early in the second half, and Longelo struck the right post with a wind-assisted corner from that side after 58 minutes.

Hearts’ Jamie McCart was perhaps fortunate not to receive more than a booking for a crunching tackle on Ibrahim Said after 59 minutes.

Hodge had a low shot well saved at the bottom left corner as Motherwell tried to draw level.

Sub Eythor Bjorgolfsson had a header saved by Reus at close range on 74 minutes.

Hearts bagged their second of the game after 86 minutes as Miller picked up possession outside the box and slammed a shot into the bottom right corner for his seventh of the season.